Question

Between which two integers does square root of /500 lie?

Answer 1

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

Answer 2

Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

$\sqrt{100 \times 5}$

$\sqrt{ {10}^{2} \times 5 }$

We can move the 10² out because it matches the index of the root

$10 \sqrt{5}$

Step 2: Input into calculator to find decimals

$10 \sqrt{5} = 22.36$

Therefore the square root of 500 lies between 22 and 23