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}*\sqrt[]{18y}=\sqrt[]{2y^3*18y}`

Multiply the values under the root

`\sqrt[]{(2*18)(y^3* 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*6y^2=126y^2`

The answer is D