What is the product of 7√8 × 4√5? Simplify your answer.

Solution:

The product of 7√8 × 4√5 is

= 28√(8 × 5)

= 28√40

Factorising 40 so that we will get perfect square number.

= 28√(4 × 10)

= 28 √(2 × 2 × 2 × 5)

Taking pair of 2 outside the root, we get

= 28 × 2 × √(2 × 5)

= 56√10

Therefore, the product of 7√8 × 4√5 is 56√10.

What is the product of 7√8 × 4√5? Simplify your answer.

Summary:

The product of 7√8 × 4√5 is 56√10.