Question

Estimate the value of following square root to nearest whole number √440

Answer 1

Step-by-step explanation:

Given Estimate the value of following square root to nearest whole number √440

• We know that √440 is 20.9 and hence 20^2 = 400 and 21^2 = 441
• Therefore 400 < 440 < 441
• So 20 < √440 < 21
• Therefore estimated value of √440 will be 20

Thus √440 lies between 20 and 21

Reference link will be

https://brainly.in/question/14611630

Answer 2

√440 ≈ 21

Step-by-step explanation:

The first answer provides the estimated value of √440. I do the same using the division process to find the square root.

2

440 | 20.9

- 4 |

------------

409 | 4000

| 3681

------------

319

Proceedings further, we will get

√440 = 20.976...

We see that 20 < 20.976... < 21; where 20.9 is closer to 21 than to 20. Thus 21 being a whole number, we conclude that √440 ≈ 21