How do you simplify the square root of 45/125 ?

To simplify the square root of 45/125, follow these steps:

Simplify the fraction: First, simplify the fraction 45/125. Find the greatest common divisor (GCD) of 45 and 125, which is 5.

Divide both the numerator and the denominator by 5: 45 ÷ 5 = 9 125 ÷ 5 = 25

So, 45/125 simplifies to 9/25.

Take the square root of the simplified fraction: The square root of a fraction can be simplified as the square root of the numerator divided by the square root of the denominator: √(9/25) = √9 / √25

Simplify the square roots: √9 = 3 √25 = 5

Therefore, √(9/25) = 3/5.

The simplified square root of 45/125 is 3/5.