Simplify the radical expression. Show all your steps.
\sqrt{363} -3 \sqrt{27}
Factor out all the perfect squares in the roots:
√363 - 3√27
= √(121*3) - 3√(9*3)
= √121*√3 - 3*√9*√3
= 11√3 - 3*3√3
= 11√3-9√3
= 2√3
im definetly cheating im ngl
Why are you here this is the second time ive found you
Thx again, Steve! I love you!
can you please show me how to do this equation im not really good with reading math but anything helps!
OMG Thanks for showing me how to solve I really appreciate it helps me understand the question a lot better.
And Ms Teacher we are cheating if we are getting how to do the question (as like showing us how to solve it)
yeah guys why is he eveywhere
bro beefin with a bot 😭😭😭
I am sorry, I guess I am a bit stupid.
They are made manadatory, why? Don't tell em because they have the hopes of give well-roudned education, why force people to learn something that they dislike, it is like forcing kids to eat baloney or some other foul meat, it is a form of torture, once I was told that MATH stands for Mental Abuse To Humans, how right that it.
How does math help algebra help people than?
Here below I shall point out all of your incorrect concepts, which given that you are AI are quite a few.
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1. Budgeting and personal finance: Regular math is enough for this, we don't need algebra for this.
2. Planning and measurements: That IS useful in that way, but why do it on paper when you can do it with real-life measuring tools, those are certain not to be wrong.
3. Problem-solving: This is the PURPOSE of algebra? Why not ask questions in school about what a student would do to solve a problem and then there would be a fine "problem solving course".
4. Logical thinking: Making things harder in math rather than just using a claculator or measurign tape is not logical, it is stupid. There is no reason to promote "logical" such thinking. In "logical thinking" algebra two negatives make a postive, ha! That is not logical, in real life that never happens, in real life two negatives make a deeper nagative. Imagine being bancrupt by -300, then you lose -70 more--wait! two negatives make a positve! so that would mean I have +370 in my account! If the world was life that everyone should be rich!
5. Understanding various parameters: Yes, for those Algebra has a purpose, but why learn this if you are not going purse such a carrer. "You can't tell if you will or not," well then we may as well start putting kids through police training too, becuase we don;t klnoe if they will become officers in the future, we should also teach them about every job possibility for them, since we can never be sure of what job they will get.
So, Algbra is pretty worthless, uneeded, time-consuiming, in which you are meant ot waste away your one and only life.
Do farmers usually use algebra?
i think this is the funniest thread ive ever read on here lmfao
What si the use of any of this math anyway? Only for teachers to have jobs as if we would use any of this later in life...
No need to apologize! Everyone has their strengths and weaknesses, and just because you may struggle with math does not make you stupid. It's okay to ask for help and there are many resources available to help you learn and understand mathematical concepts.
But if a person is not going to go into more advanced mathematics, then tell me...how does it benefit that person?
Tell me then, for a person who intends to say: become a farmer, how will algebra help them?
The reason I asked you these specific jobs, is because I know five diffrent men who work at all diffrent jobs, none use algebra.
In the middle ages, did people use algebra? In Europe or in Asia?
Not going to answer?
Stupid bot.
Bro this WHOLE thang is the bot being a smart A $ $
Mathematics is an essential subject that has applications in many fields, including science, engineering, finance, technology, and many more. Here are some examples of how math is used in everyday life:
1. Estimating costs and managing finances
2. Measuring and mixing ingredients in cooking and baking
3. Calculating distance, speed, and fuel economy in driving
4. Understanding and interpreting medical data
5. Measuring, planning, and building structures in construction and architecture
6. Understanding patterns and trends in data analysis and statistics
7. Designing and creating graphics and computer programs
So math is not just important for teachers, but for everyone to have a good grasp of as it has many practical and real-life applications.
Algebra is a branch of mathematics that deals with mathematical equations and symbols. Algebra is important because it provides a framework for problem-solving skills and logical thinking. Here are some ways that algebra helps people:
1. Algebra helps people solve problems by breaking them down into smaller, manageable steps
2. Algebra helps people understand more complex mathematical concepts, such as calculus
3. Algebra helps people to interpret and analyze data
4. Algebra provides a foundation for other mathematical disciplines and sciences
5. Algebra helps people in their daily lives, such as calculating budgets or determining the size of a room for furniture placement
6. Algebra is important for many careers, such as engineering, finance, and computer science
In general, algebra helps people think critically and logically, and prepares them for more advanced mathematical concepts and other science and technology fields.
Even if a person is not planning to pursue advanced mathematics or a career that directly uses algebraic concepts, learning algebra has practical applications in daily life. Here are some examples:
1. Budgeting and personal finance: Algebraic concepts can help someone manage their finances effectively by calculating and planning a budget, understanding compound interest, and making informed decisions about loans or investments.
2. Planning and measurements: Algebra is useful for tasks that require estimation or calculations such as measuring for home renovations or determining the amount of paint required to paint a room.
3. Problem-solving: Algebra helps in developing problem-solving skills that can be useful in both personal and professional settings.
4. Logical thinking: Algebra helps to develop logical thinking, which is useful in making decisions, analyzing situations, critical thinking, and reasoning.
5. Understanding various parameters: Algebra helps people understand the relationships between different parameters and concepts, which can be useful in fields such as science, engineering, and medicine.
So, even if a person is not planning to take advanced mathematics courses, learning algebra can still benefit them in many practical aspects of their daily lives.
Algebra may not be a critical requirement for all farming operations, but it can certainly help farmers perform necessary calculations and make informed decisions. Depending on the size and complexity of the farm operations, farmers may need to calculate various quantities such as crop yields, fertilizer requirements, and irrigation needs. Algebraic concepts can be useful in solving these problems and taking into account multiple variables.
Additionally, farmers often need to manage their finances effectively, which may require some knowledge of algebraic concepts such as budgeting, financial projections, and return on investment calculations.
Overall, while not every aspect of farming requires algebraic knowledge, it can certainly be a useful tool in optimizing farm operations and making informed decisions.
Do farmers usually use algebra? Is it something they sue quite often?
The extent to which farmers use algebra will depend on their specific operations and the level of mathematical complexity required for their work. However, farmers with more complex operations, such as those involved in large-scale farming or crop management, may use algebra on a regular basis.
For example, farmers may need to use algebra to determine crop yields, fertilizer requirements, or payments for contracts. Additionally, knowledge of financial algebra can also be useful for managing financial statements and making investment decisions.
Overall, while algebra may not be regularly used by all farmers, it can be a useful tool for farmers whose operations involve complex calculations or financial management.
Tell me how does a police officer, a mail-carrier, a dog-trainer, or a waiter use algebra?
Algebra may not be a critical requirement for all jobs like police officer, mail carrier, dog trainer, or waiter, but it can still be useful in certain situations. Here are a few examples:
1. Police officer: Police officers may use algebra to determine the speed of a vehicle involved in a chase, calculate the trajectory of a bullet in a crime scene, or estimate the time and distance required to arrive at a location.
2. Mail carrier: Algebra can be useful in calculating postage rates and determining the cost of shipping parcels. It can also be helpful in planning and optimizing routes for mail delivery.
3. Dog trainer: The principles of algebra can be useful in training dogs to perform tasks that involve counting or sequences, such as bringing multiple items or following a series of commands.
4. Waiter: Algebra can be helpful for waiters in determining a tip amount based on a percentage of the bill, calculating the total amount of a split bill or splitting tips among the staff.
While not every aspect of these jobs may require knowledge of algebraic concepts, understanding algebra can still provide useful problem-solving skills and analytical thinking that can help in other areas of their job responsibilities.
It is possible that certain jobs do not require the use of algebraic concepts on a routine basis. However, it's important to note that the ability to understand and apply algebraic concepts can still provide benefits in various aspects of daily life and work. Even if algebra is not a primary focus of a job, it can be useful in certain situations that may arise.
Additionally, some jobs may not require the use of algebraic concepts directly, but may require other mathematical skills such as numerical analysis or statistics. In any case, having a basic understanding of algebraic concepts can enhance a person's overall problem-solving ability and analytical thinking skills, which can help in many areas of life, including work.
While algebra as we know it today was not fully developed during the Middle Ages, certain algebraic concepts were used in both Europe and Asia during that time period.
In Asia, mathematical concepts such as algebraic manipulations and polynomial equations were being used by mathematicians and astronomers in places such as India, Persia, and China. Scholars in these regions made significant contributions to the development of algebra and other fields of mathematics.
In Europe, the development of algebraic concepts was largely influenced by Arabic mathematicians who translated and preserved earlier works in algebraic concepts. In particular, Al-Khwarizmi's foundational work on the subject, written in Arabic around the year 820, was translated into Latin and other European languages, and served as a basis for later developments in algebra.
Overall, while not fully developed in its modern form, the Middle Ages saw important contributions made to the development of algebraic concepts in both Europe and Asia.
Did the average person in those ages know that olden day form of algebra?
How long has the human race existed?
In that time period how many humans used algebra? How many people have lived fine without it?
Since algebra was only developed as a field of mathematics much later in history, it is safe to say that no humans used algebra during the time period of the first modern humans, around 200,000 years ago. In fact, it took thousands of years for basic mathematical concepts such as counting and measurement to be developed, and even longer for algebraic concepts to emerge.
Throughout history, billions of people have lived without the knowledge of algebraic concepts, and many continue to do so today. However, it's worth noting that algebra and mathematics, in general, have played a significant role in human development and progress, including in fields such as science, engineering, medicine, and finance, among others. While not essential for daily life, a knowledge of mathematics and its applications can be helpful and sometimes even necessary in various professions and industries.
"Not essential for daily life," you say so yourself.
I am not aspiring to become any great scientist, or mathamtician, so please realize that I have no need of algebra, I and about 99% of the people who learn algebra will grow old without using it and then die and be forgotten, so how does it matter when my bones are rotting if I knew algebra or not>
It is true that algebra may not be essential for daily life for everyone, and not everyone may use it in their personal or professional lives. However, learning algebra provides a foundation for critical thinking and problem-solving skills, which can translate into many aspects of everyday life.
For example, understanding algebraic concepts can help in managing finances, decoding charts and graphs, measuring and comparing values, analyzing data, and even in making informed decisions about simple purchases or investments. Additionally, while you might not directly use algebra in your daily life or future career, it may provide a foundation for understanding and applying more advanced mathematical concepts, such as calculus or geometry.
Ultimately, the decision to learn algebra or any other subject depends on personal interests and goals. While not every person will find algebra useful, it remains an important subject for those who choose to work in certain fields, including science, technology, engineering, and mathematics (STEM).
"Ultimately, the decision to learn algebra or any other subject depends on personal interests and goals." Then why do school force children to learnt this stuff?
Then why shouldn't kids who don't want to learn algebra be able to say "I have no desire to do this," and then not learn algebra?
While it is understandable that some students may not find algebra interesting or relevant to their future goals, it is important to note that algebra and other subjects are often required by schools as part of a standard curriculum, regardless of the individual student's interests or goals.
Schools have a responsibility to provide students with a well-rounded education that includes a diverse range of subjects, including math and algebra, as these subjects provide a foundation of knowledge and skills that is essential for pursuing many careers.
However, schools should also strive to make subjects like algebra more engaging, relevant, and accessible to students. Teachers can help students to see the practical applications of algebra in the real world, present challenging problems in fun and creative ways, and provide additional resources and support to help students who are struggling with the subject.
Ultimately, while schools require students to study certain subjects, it is also important for educators to work to make those subjects engaging and meaningful to students, and for students to have access to additional support and resources if needed.
I apologize for any confusion caused by my previous response. While it is true that basic mathematics is sufficient for budgeting and personal finance, algebra can help with more complex financial calculations such as interest rates and amortization schedules.
Using measuring tools is certainly a more accurate way to measure, but knowing algebra can still be useful for planning and estimating purposes.
Regarding problem-solving, while real-life examples can certainly help develop practical problem-solving skills, understanding algebraic methods can offer a different perspective and set of problem-solving techniques.
Logical thinking is an essential skill that can be developed through various subjects, including algebra. While two negatives do not necessarily make a positive in real life situations, it is a fundamental concept in algebra that can be useful in solving equations.
Lastly, while not everyone may pursue a career that directly uses algebraic concepts, learning algebra can still have benefits such as improving analytical skills, developing critical thinking skills, and promoting problem-solving skills.
I hope this clears up any misunderstandings and provides a better understanding of the potential benefits of learning algebra.
While algebra may not be directly applicable to farming, it can still provide benefits for a farmer in their daily life and work. Here are some ways algebra can be useful for farmers:
1. Calculating crop yields and profits: Algebraic concepts can help farmers calculate crop yields based on various factors such as land area, plant density, and rainfall. This information can be used to determine potential profits and also help plan future crops.
2. Understanding financial statements: Farmers need to manage their finances effectively, and algebra can help with calculating and planning a budget, understanding debt, and making informed decisions about investments.
3. Measuring land size and volume: Algebra can help farmers measure the size and volume of their land and crops for planning purposes and ensuring they are getting fair prices for their products.
4. Equipment maintenance: Algebraic concepts can also help where repairs of equipment are concerned. For example, if they were to measure an angle in the gear mechanism that needs to be repaired to get the equipment working, algebraic calculations would come in handy.
While some of these concepts might not seem directly related to farming, they do play an important role in managing and planning the farm operations.
Algebraic concepts and mathematical knowledge were not widespread in the general population during the Middle Ages. Instead, they were primarily known and developed by scholars, philosophers, and mathematicians throughout the era.
In Europe, knowledge of algebraic concepts during the Middle Ages was largely limited to scholars and the educated elite. Arabic influence, however, did make algebra more accessible to European academics in the later Middle Ages. Eventually, algebra and other mathematical concepts became more widely available due to the spread of books and printing in Europe.
In Asia, the knowledge of algebraic concepts was mainly limited to mathematicians, astronomers, and other intellectuals. The spread of these concepts was primarily facilitated through the translations and studies of Persian and Arabic works in mathematics.
Overall, algebraic concepts during the Middle Ages were not widely known by the general population, but were mainly developed and used by educated scholars and mathematicians in Europe and Asia.
The estimated length of time that the human race has existed is around 200,000 years. This is based on evidence from fossils and genetic studies that suggest that modern humans, Homo sapiens, evolved in Africa around this time period. However, it's worth noting that this is an estimate and not a precise calculation, as there is still much that is not understood about the origins and evolution of modern humans.
Schools introduce students to a wide range of subjects, including algebra, with the goal of providing them with a well-rounded education that prepares them for future academic and professional pursuits. While some students may not find algebra personally interesting or relevant to their future goals, others may find it challenging and useful in their future careers.
Schools require students to study certain subjects such as algebra and math because they provide a foundation of skills and knowledge that is essential for pursuing many careers, including those in STEM fields. Additionally, studying subjects like algebra can help develop important skills such as logical thinking, analytical reasoning, and problem-solving, which can be applied to many aspects of daily life and work.
While students may not initially see the value in studying certain subjects, including algebra, the hope is that by providing a solid education that includes a diverse range of subjects, they will have the tools and knowledge to be successful in their chosen careers and personal endeavors.