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Problem 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. $$ \sqrt{\frac{4 a^{4}}{25}} $$

Problem 18

In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ \sqrt{20-2 x}=\sqrt{5 x-8} $$

Problem 18

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. $$ \sqrt{24}+2 \sqrt{\frac{3}{2}} $$

Problem 18

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{4}{3-\sqrt{3}}\)

Problem 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. $$ \frac{4 \sqrt{2}+8 \sqrt{12}}{2 \sqrt{2}} $$

Problem 18

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt{1.44} $$

Problem 18

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

Problem 19

In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt[3]{27} $$

Problem 19

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. $$ \sqrt{\frac{3 b^{3}}{44}} $$

Problem 19

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{3}{1+\sqrt{5}}\)

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