Question

Rationalize the denominator for the expression shown in the image, and express in simplest form.

Answer 1

\(\bf \sqrt{\cfrac{20x^6}{25}}\implies \cfrac{\sqrt{20x^6}}{\sqrt{25}}
\\ \quad \\
\textit{keep in mind that }{\color{blue}{ 20\implies 2\cdot 2\cdot 5\implies 2^2\cdot 5\qquad x^6\implies (x^3)^2}}\)

Answer 2

how can i simplify to get one of the choices. I need to know hot to do it in steps, if you can help

Answer 3

\(\bf \sqrt{\cfrac{20x^6}{25}}\implies \cfrac{\sqrt{20x^6}}{\sqrt{25}}
\\ \quad \\
\textit{keep in mind that }{\color{blue}{ 20\implies 2\cdot 2\cdot 5\implies 2^2\cdot 5\qquad x^6\implies (x^3)^2}}
\\ \quad \\
\cfrac{\sqrt{20x^6}}{\sqrt{25}}\implies \cfrac{\sqrt{2^2\cdot 5\cdot (x^3)^2}}{\sqrt{5^2}}\)

surely you can get it from that

Answer 4

yeah all clear now, thank you :)

Answer 5

yw