can you write this withought latex

Question

Comparing 81 and 88**: \( 81 < 88 \)

**Comparing \( \sqrt{81} \) and \( \sqrt{8} \)**:
- \( \sqrt{81} = 9\) and \( \sqrt{8} \approx 2.828 \), so \( \sqrt{81} > \sqrt{8} \).

Answer 1

Comparing 81 and 88: 81 is less than 88.

Comparing the square root of 81 and the square root of 8:

• The square root of 81 is 9, and the square root of 8 is approximately 2.828, so the square root of 81 is greater than the square root of 8.

Answer 2

can you show me how you got 8 is approximately 2.828 pls

Answer 3

Certainly! To approximate the square root of 8, you can use the following method:

1. First, note that 8 can be expressed as a product of perfect squares: \[ \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2} \]

2. The square root of 2 (√2) is approximately 1.414 (a commonly known approximation).

3. Therefore, to find √8: \[ \sqrt{8} = 2 \times \sqrt{2} \approx 2 \times 1.414 = 2.828 \]

So, √8 is approximately 2.828. Alternatively, you can calculate this using a calculator, which will give you the same approximate value.

Answer 4

say it without latex

Answer 5

Sure! To approximate the square root of 8, you can follow these steps:

1. Recognize that 8 can be broken down into perfect squares. Specifically, you can express it as the square root of 4 times 2, which means it can be simplified to 2 times the square root of 2.

2. The square root of 2 is approximately 1.414.

3. Therefore, when you calculate the square root of 8, you get 2 times the square root of 2, which is approximately 2 times 1.414. This gives you about 2.828.

So, the square root of 8 is approximately 2.828. You can also check this value using a calculator.