Question

Select the correct answer.Which expression is equivalent to 3V2y3 . 7/18y, if y> 0?OA. 215/207OB. 2172/67Oc. 63y/2yOD. 126y2

Answer 1

$3\sqrt[]{2y^3}.7\sqrt[]{18y}$

We will start with 3 x 7 = 21

$\sqrt[]{2y^3}\times\sqrt[]{18y}=\sqrt[]{2y^3\times18y}$

Multiply the values under the root

$\sqrt[]{(2\times18)(y^3\times y)}=\sqrt[]{36y^4}$

Square root 36 = 6 and square root y^4 = y^2

$\sqrt[]{36y^4}=6y^2$

Then multiply 21 by 6y^2

$21\times6y^2=126y^2$

The answer is D