Question

What is the simplified form of 3 square root x^2 • 3 square root x^2?

A. x 3 square root x
B. 3 square root x
C. x
D. x^4/9

Answer 1

According to the expression written here, it simplifies to
`9x^2`

Or

`x^(4)/(3)`

Explanation:

The expression
`3√(x^2)*3√(x^2)` simplifies by multiplying like terms 3*3 and
`√(x^2)*√(x^2)`. This means it becomes:

`3√(x^2)*3√(x^2)   = 9 √(x^4)`

A square root removes any terms inside which is a perfect square. The perfect square
`x^4 = x^2x^2`. This means the expression
`9√(x^4) =9x^2`

OR

If the expression is
`\sqrt[3]{x^2} *\sqrt[3]{x^2} =\sqrt[3]{x^4}=x^(4)/(3)` since a radical can be written with a fractional exponent.