91Ó°ÊÓ

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ (-2 \sqrt{5})^{2} $$

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{\sqrt{24}}{2 \sqrt{6}}\)

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt{169} $$

In \(15-26,\) find and graph the solution set of each inequality. $$ |2-4 b| \leq 6 $$

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{x^{5} y^{3}} \cdot \sqrt{3 x y} $$

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 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 \(3-29\) 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. $$ \frac{\sqrt{48}+\sqrt{3}}{\sqrt{3}} $$

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. $$ x \sqrt{600}-2 \sqrt{24 x^{2}}+4 x \sqrt{96} $$

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