Question

What is the simplified form of the square root of 45?

A. the square root of 5
B. the square root of 9 x 5
C. 3 and the square root of 5
D. 5 and the square root of 3

Answer 1

C. 3 and the square root of 5

Explanation:

45/9=5

Square root of 9 is 3

Left over: rad 5

3 and the square root of 5

Answer 2

3sqrt(5)

Explanation:

sqrt(45)

sqrt(9*5)

We know the sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9) sqrt(5)

3sqrt(5)