Estimate the value of 6×2–√
. Which of the following choices is the best estimate?
Responses
7.1
7.1 - no response given
8.4
8.4 - correct
6.4
6.4 - no response given
9.8
9.8 - no response given
explain how to find the square root of 2
To find the square root of 2, you can use either a calculator or a manual method called the "long division method":
1. Using a calculator:
- Simply input the number 2 and then press the square root (√) button. The calculator will give you the square root of 2, which is approximately 1.41421356237.
2. Using the long division method:
- Start by making an initial guess for the square root of 2. Let's say we guess that the square root of 2 is 1.
- Divide 2 by 1, which gives you 2. Write this quotient (2) above the line.
- Average this quotient with your initial guess: (1 + 2) / 2 = 1.5.
- Repeat the process by dividing 2 by the new average, 1.5.
- Continue this process of averaging and dividing until you reach the desired level of accuracy or until you see a repetitive pattern in the decimal places.
- In this case, you'll find that the square root of 2 is approximately 1.41421356237, which is the same result obtained from using a calculator.
Note: The long division method can be quite time-consuming and is mainly used to understand the concept of finding square roots manually. Calculators are much faster and provide more accurate results.
why is the square root of 28 between 5 and 6?
The square root of 28 is actually between 5 and 6 because 28 falls in between the perfect squares of 25 (5^2) and 36 (6^2). When finding the square root of a number, we are essentially trying to find the number that, when multiplied by itself, gives the original number.
In this case, the square root of 28 is approximately 5.29. When you square 5.29, you get approximately 28.0161, which is very close to 28. So, the actual square root of 28 lies between 5 and 6, closer to 5 than 6.
There are two types of seismic waves: p-waves and s-waves. Which of the following describes both waves? (1 point)
Responses
Both waves move the ground in the direction they travel.
Both waves move the ground in the direction they travel.
Both waves move the ground perpendicular to the direction they travel.
Both waves move the ground perpendicular to the direction they travel.
Both waves occur in the ocean.
Both waves occur in the ocean.
Both waves cause earthquakes.
Both waves cause earthquakes.
Both waves move the ground in the direction they travel.
Students model a wave by moving the end of a rope up and down. Which statement best explains the type of wave created by this motion?(1 point)
Responses