PSToM - Parents, Students, Teachers of Mathematics ( Algebra-1 ) - Radical Expressions and Equations

Algebra-1 Problems

11.5 Dividing Radical Expression

Problem #	Problem Statement	Problems Similar To
1.	Simplify	\begin{equation}\sqrt{(\frac{9}{25})}\end{equation}
2.	Simplify	\begin{equation}\sqrt{(\frac{3}{12})}\end{equation}
3.	Simplify	\begin{equation}\sqrt{(\frac{4}{4})}\end{equation}
4.	Simplify	\begin{equation}\frac{\sqrt{512}}{\sqrt{8}}\end{equation}
5.	Simplify	\begin{equation}\frac{\sqrt{1000}}{\sqrt{16}}\end{equation}
6.	Simplify	\begin{equation}\sqrt{(\frac{8}{6})}\end{equation}
7.	Simplify	\begin{equation}\frac{\sqrt{8}}{\sqrt{(8x)}}\end{equation}
8.	Simplify	\begin{equation}\frac{\sqrt{(294x^{2})}}{\sqrt{(6x^{2})}}\end{equation}
9.	Simplify	\begin{equation}\sqrt{(\frac{x^{3}}{81y^{4}})}\end{equation}
10.	Simplify	\begin{equation}\sqrt{(\frac{5x^{4}}{4x^{3}})}\end{equation}
11.	Simplify	\begin{equation}\sqrt{(\frac{441x^{3}}{9x^{4}})}\end{equation}
12.	Simplify	\begin{equation}\sqrt{(\frac{3645x^{10}}{9x^{4}})}\end{equation}
13.	Simplify	\begin{equation}\sqrt{(\frac{36}{64x^{8}})}\end{equation}
14.	Rationalize the denominator	\begin{equation}\frac{9}{\sqrt{10}}\end{equation}
15.	Rationalize the denominator	\begin{equation}\frac{\sqrt{10}}{\sqrt{8}}\end{equation}
16.	Rationalize the denominator	\begin{equation}\frac{\sqrt{10}}{\sqrt{24}}\end{equation}
17.	Rationalize the denominator	\begin{equation}\frac{1}{\sqrt{(8x)}}\end{equation}
18.	Rationalize the denominator	\begin{equation}\frac{\sqrt{(125x)}}{\sqrt{10}}\end{equation}
19.	Rationalize the denominator	\begin{equation}\frac{\sqrt{5}}{\sqrt{x}}\end{equation}
20.	Rationalize the denominator	\begin{equation}\sqrt{(\frac{32}{16 \times 2})}\end{equation}
21.	Rationalize the denominator	\begin{equation}\frac{\sqrt{(16x^{3})}}{\sqrt{3}}\end{equation}
22.	Rationalize the denominator	\begin{equation}\frac{\frac{1}{18} \times \sqrt{(486x)}}{\sqrt{(2x)}}\end{equation}