91Ó°ÊÓ

In \(15-26,\) find and graph the solution set of each inequality. $$ 2|x+2| > -3 $$

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

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[5]{-1} $$

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{6}{3+\sqrt{3}}\)

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. $$ \frac{5+6 \sqrt{5}}{\sqrt{5}} $$

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. $$ \sqrt{162 a^{4} b^{3}}+3-a b \sqrt{18 a^{2} b}-1 $$

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

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. $$ \sqrt{\frac{3 x}{4 y}} $$

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt[4]{27} \cdot \sqrt[4]{3} $$

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. $$ \frac{\sqrt[3]{27 x^{3}}+\sqrt[3]{36 x^{5}}}{\sqrt[3]{3 x^{3}}} $$