What is the product of five square root five times six square root four? Simplify your answer.

Solution:

The given question is based on the multiplication of radicals.

Product of five square root five times six square root four can be written mathematically as 5√5 × 6√4

5√5 × 6√4 = 5√5 × 6 × 2 = 5 × 6 × 2 × √5 = 60√5

Thus, the product of five square root five times six square root four is sixty square root five or  5√5 × 6√4 = 60√5

What is the product of five square root five times six square root four? Simplify your answer.

Summary:

The product of five square root five times six square root four is sixty square root five i.e., 5√5 × 6√4 = 60√5