Question

Select the correct answer.

Simplify the expression.
3x 3 648x4,8
A. 922 3/2203/2
B. 18ху? w/32372
C. 18222 13x3
D. 1822,2 3/220232

Answer 1

The correct option is

C.
`18x^2y^2\sqrt[3]{3xy^2}\\`

Explanation:

We have the expression,

`3x\sqrt[3]{648x^4y^8}`

Simplifying,

`3x\sqrt[3]{648x^4y^8}\\3x\sqrt[3]{648x^3xy^6y^2}\\3x\sqrt[3]{648(x)^3x(y^2)^3y^2}\\`

Taking out x and y^2,

`3xxy^2\sqrt[3]{648xy^2}\\3x^2y^2\sqrt[3]{(2)(2)(2)(3)(3)(3)(3)xy^2}\\3x^2y^2\sqrt[3]{(2)^3(3)^3(3)xy^2}\\\\(3)(2)(3)x^2y^2\sqrt[3]{(3)xy^2}\\18x^2y^2\sqrt[3]{3xy^2}\\`

Hence the correct option is C