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. $$ \sqrt{\frac{5 a}{18}} $$

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. $$ \frac{\sqrt[4]{a b^{4}}}{\sqrt[4]{a^{2} b^{4}}} $$

In \(15-26,\) find and graph the solution set of each inequality. $$ 3|2 x-2|+2 \geq-5 $$

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. $$ 5 \sqrt{\frac{1}{5}}-\sqrt{\frac{1}{10}}+\sqrt{20} $$

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{\sqrt{20 y}}{y \sqrt{5}+1}\)

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. $$ \sqrt{\frac{15}{8 b^{3}}} $$

The temperature on Mars roughly satisfies the inequality \(|t-75| \leq 145\) where \(t\) is the temperature in Fahrenheit. What is the range of temperatures on Mars?

In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{8}(6+\sqrt{2}) $$

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

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. $$ \sqrt{\frac{1}{6}}+\sqrt{\frac{8}{3}}-\sqrt{\frac{2}{3}} $$