Question

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

Answer 1

Option B=
`6x^2\sqrt3`

Explanation:

We are given that a product
`√(6x^2)\cdot √(18x^2)`

where
`x\geq 0`

We have to find that which is equivalent to given product

Factorize each term then we get

`√(2*3* x^2)\cdot √(3*3*2* x^2)`

`x^2√(2* 2* 3* 3*3)`

`√(6x^2)\cdot√(18x^2)=2* 3x^2\sqrt 3`

`√(6x^2)\cdot√(18x^2)=6\sqrt3 x^2`

Hence,option B is true.

Answer 2

B 6 x^2 sqrt(3)

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)