Question

What is the simplified form of

Answer 1

x to the one half power

x

x2

square root of x

Answer 2

\[\sqrt[4]{x^2}*\sqrt[4]{x^2}=x^{\frac{1}{2}}*x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\]

Answer 3

\[\sqrt[4]{x^2}*\sqrt[4]{x^2}=x^{\frac{2}{4}}*x^{\frac{2}{4}}=x^{\frac{2}{4}+\frac{2}{4}}=|x|
\]

Answer 4

okay! so simplify it then add the fractions. okay! got it! thanks

Answer 5

note that I kept the fractions in unreduced form because we didnt want to loose the information that this is always positive.

Answer 6

its very important to understand why I said =|x| and not =x
do you?

Answer 7

\[x^2\ge 0\]
so
\[\sqrt[4]{x^2}\ge0\]
so
\[\sqrt[4]{x^2}*\sqrt[4]{x^2}\ge0\]