91Ó°ÊÓ

In \(3-38\) , write each radical in simplest radical form. Variables in the radicand of an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \sqrt{\frac{6}{81 y^{6}}} $$

In \(3-29\) write each quotient in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \frac{\sqrt{72}+\sqrt{54}}{\sqrt{18}} $$

In \(3-38\) , write each radical in simplest radical form. Variables in the radicand of an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \sqrt{\frac{a^{5}}{2}} $$

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{\frac{a}{3}} \cdot \sqrt{\frac{a^{2}}{4}} $$

In \(3-29\) write each quotient in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \frac{\sqrt{20}-\sqrt{5}}{\sqrt{5}} $$

In \(15-26,\) find and graph the solution set of each inequality. $$ \left|5 x-\frac{1}{2}\right|-\frac{3}{2} > 0 $$

In \(3-38\) write each expression in simplest form. Variables in the radicand with an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ a \sqrt{45}+\sqrt{20 a^{2}}-5 \sqrt{2 a} $$

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{3}{\sqrt{5}-2}\)

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[3]{-125} $$

In \(3-38\) , write each radical in simplest radical form. Variables in the radicand of an even index are non-negative. Variables occurring in the denominator of a fraction are non-zero. $$ \cdot \sqrt{\frac{a^{3}}{5 b}} $$