Question

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

Answer 1

Answer:

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

Or

$x^\frac{4}{3}$

Step-by-step explanation:

The expression $3\sqrt{x^2}*3\sqrt{x^2}$ simplifies by multiplying like terms 3*3 and $\sqrt{x^2}*\sqrt{x^2}$. This means it becomes:

$3\sqrt{x^2}*3\sqrt{x^2} = 9 \sqrt{x^4}$

A square root removes any terms inside which is a perfect square. The perfect square $x^4 = x^2x^2$. This means the expression $9\sqrt{x^4} =9x^2$

OR

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