How do you convert 7 to the square root of 2 into a decimal?
Also, how do you convert 3 to the square root of 8 into a decimal?
Thanks
PLEASEEE Help. I need the answer and explanation please.
Look for a key on your calculator that looks like a power,
either yx or perhaps ab
enter the following sequence
7
x
( √2)
=
you should get 15.6728...
do the 2nd in the same way
To convert a number with a square root into a decimal, you can use a calculator or a mathematical approximation method. Here's how you can do it:
1. Using a calculator:
- For the first question, to convert 7 to the square root of 2 into a decimal, you can simply input "sqrt(2)" on your calculator and then multiply the result by 7.
- For the second question, to convert 3 to the square root of 8 into a decimal, input "sqrt(8)" on your calculator and then multiply the result by 3.
2. Using a mathematical approximation:
- For both questions, you can use a method called long division approximation.
- Start by writing down the number you want to convert (7 or 3) and the square root symbol (√).
- Then, choose a starting value that you think is close to the actual square root. For example, for √2, you could start with a value of 1.4. For √8, you could start with a value of 2.8.
- Divide the original number by the starting value and write down the result under the division line.
- Then, average the starting value and the result and use the new value as the next approximation.
- Repeat the process of division and averaging until you reach the desired level of decimal places or until you are satisfied with the approximation.
Remember that using a calculator will give you a more accurate decimal representation, while a mathematical approximation method may introduce some level of error.