Question

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

Answer 1

Answer:

$100x^2$

Step-by-step explanation:

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

$5\sqrt{4x^2} * 5\sqrt{4x^2}$

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 $5\sqrt{(4x^2)} * 5\sqrt{(4x^2)} = 4x^2$

So multiplying both the terms together to get:

$25*5\sqrt{(4x^2)}$ = $100x^2$

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

Answer 2

Answer:

100 x^2

Step-by-step 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