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Magazine Problem 8
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ 3 \sqrt{2} \cdot \sqrt{10} $$
Problem 9
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. $$ 5 \sqrt{200 x y^{2}} $$
Problem 9
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{12}{\sqrt{27}}\)
Problem 9
In \(3-14,\) determine whether each of the numbers is rational or irrational. $$ \sqrt{3}+5 $$
Problem 9
In \(3-10,\) tell whether each represents a number that is rational, irrational, or neither. $$ \sqrt[5]{-243} $$
Problem 9
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. $$ \frac{\sqrt{54}}{\sqrt{2}} $$
Problem 9
In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ 1+\sqrt{x}=3 $$
Problem 9
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. $$ \sqrt{250 a^{2}}+\sqrt{10 a^{2}} $$
Problem 9
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{\frac{1}{3}} \cdot \sqrt{24} $$
Problem 10
In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ \sqrt{1+x}=3 $$
