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Problem 5

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. $$ \sqrt{72} \div \sqrt{8} $$

Problem 5

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. $$ \sqrt{32} $$

Problem 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. $$ 8 \sqrt{3}+\sqrt{3} $$

Problem 5

In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ 4 \sqrt{y}=12 $$

Problem 5

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{4}{\sqrt{2}}\)

Problem 5

In \(3-10,\) tell whether each represents a number that is rational, irrational, or neither. $$ \sqrt{-8} $$

Problem 5

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

Problem 5

In \(3-14,\) determine whether each of the numbers is rational or irrational. $$ 3 \pi $$

Problem 6

In \(3-10,\) tell whether each represents a number that is rational, irrational, or neither. $$ \sqrt[3]{-8} $$

Problem 6

Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{4}{2 \sqrt{3}}\)

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