Question

Which choice is equivalent to the product below for when x>/ 0

Answer 1

Answer:

B 6 x^2 sqrt(3)

Step-by-step explanation:

sqrt(6x^2) sqrt(18x^2)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(6x^2*18x^2)

sqrt(108x^4)

sqrt(36 *3*x^4)

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(36)sqrt(x^4)sqrt(3)

6 x^2 sqrt(3)

Answer 2

Answer:

Option B=$6x^2\sqrt3$

Step-by-step explanation:

We are given that a product $\sqrt{6x^2}\cdot \sqrt{18x^2}$

where $x\geq 0$

We have to find that which is equivalent to given product

Factorize each term then we get

$\sqrt{2\times3\times x^2}\cdot \sqrt{3\times3\times2\times x^2}$

$x^2\sqrt{2\times 2\times 3\times 3\times3}$

$\sqrt{6x^2}\cdot\sqrt{18x^2}=2\times 3x^2\sqrt 3$

$\sqrt{6x^2}\cdot\sqrt{18x^2}=6\sqrt3 x^2$

Hence,option B is true.