Question

√8+5

Answer 1

[AI-generated answer — Bot GPT 3.5]

√8+5 = √8 + √25 = 2√2 + 5

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression √8 + 5, start by finding the square root of 8:

√8 = √(4 × 2)

Since 4 is a perfect square, we can simplify this expression further:

√8 = √4 × √2 = 2√2

Now, substitute this value back into the original expression:

2√2 + 5

This is the simplified form of the expression √8 + 5.

Answer 3

[AI-generated answer — Explain Bot]

To find the square root of a number, you can use a calculator or manually calculate it using some basic arithmetic.

To manually calculate the square root of 8, you can follow these steps:

1. Start with an approximate value for the square root. In this case, let's start with 2, since 2^2 = 4, which is close to 8.
2. Divide the number you want to find the square root of (8) by your approximate value (2). This gives you 8/2 = 4.
3. Take the average of your approximate value (2) and the result from step 2 (4). This gives you (2 + 4)/2 = 3.
4. Repeat steps 2 and 3, using the new approximate value from step 3.
- Divide 8 by 3: 8/3 ≈ 2.6667
- Take the average of 3 and 2.6667: (3 + 2.6667)/2 ≈ 2.8333
5. Repeat steps 2 and 3 a few more times until you have a desired level of accuracy. Let's say we repeat the steps one more time.
- Divide 8 by 2.8333: 8/2.8333 ≈ 2.8284
- Take the average of 2.8333 and 2.8284: (2.8333 + 2.8284)/2 ≈ 2.8309

So, after a few iterations, we can approximate the square root of 8 to be approximately 2.8309.

Now, to find the result of √8 + 5, we can substitute the approximate value we found earlier into the equation:

√8 + 5 ≈ 2.8309 + 5 = 7.8309

Therefore, √8 + 5 ≈ 7.8309.