Question

What is the simplified form of square root of 45?

A. Square root of 5
B. Square root of 9 x 5
C. 3 Square root of 5
D. 5 square root of 3
(please make haste)

Answer 1

c

Explanation:

The simplified form of the square root of 45 can be found by factoring 45 into its prime factors and simplifying the square root of each factor:

45 = 3 x 3 x 5

√45 = √(3 x 3 x 5)

Using the product rule of square roots, we can separate the perfect squares from the remaining factors under the radical sign:

√(3 x 3 x 5) = √(3 x 3) x √5

Simplifying the square root of the perfect square 3 x 3:

√(3 x 3) x √5 = 3 x √5

Therefore, the simplified form of √45 is 3√5, which is option C.