Question

What is the following product? 5 sqrt 4x^2*5 sqrt 4x^2

Answer 1

`100x^2`

Explanation:

We are given the following expression and we are to find its final product:

`5√(4x^2) * 5√(4x^2)`

Here in this case, we have a constant which is outside the square root in both the given (identical) terms which is 5. So we will multiply the like terms to get:

5 × 5 = 25

and
`5√((4x^2)) * 5√((4x^2)) = 4x^2`

So multiplying both the terms together to get:

`25*5√((4x^2))` =
`100x^2`

Therefore, the final product is 100x
`^2`.

Answer 2

100 x^2

Explanation:

5 sqrt(4x^2) * 5 sqrt(4x^2)

5*5 = 25

sqrt(4x^2) * sqrt(4x^2) = 4x^2

5 sqrt(4x^2) * 5 sqrt(4x^2) = 25 *4x^2

=100 x^2