Question

On a number line, will the square root of 20 be closer to 4.4 or 4.5

Answer 1

Answer: 4.5 would be closer

Step-by-step explanation: 4.4x4.4 is 19.36 which is about 64 points away and 4.5x4.5 is 20.25 which is 25 points away

Answer 2

4.5

Explanation:

Nearest of square root of 20

`√(20)`

To choose closer from two numbers 4.4 or 4.5

First we find the square of both number.

Square of 4.4

`4.4^2 = 19.36`

Square of 4.5

`4.5^2=20.25`

Now compare the closer number from 20

Difference of, 20.25 - 20 = 0.25

Difference of, 20-19.36 = 0.64

As we know, 0.25<0.64

Hence, On number line square root closer to 4.5