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Magazine Problem 10
In \(3-10,\) tell whether each represents a number that is rational, irrational, or neither. $$ \sqrt{0.25} $$
Problem 10
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ \sqrt{21} \cdot \sqrt{\frac{4}{3}} $$
Problem 10
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. $$ 3 \sqrt{20 y^{5}} $$
Problem 10
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. $$ \frac{\sqrt{300}}{\sqrt{25}} $$
Problem 10
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{6}{\sqrt{12}}\)
Problem 10
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. $$ 8 \sqrt{11 b^{4}}-\sqrt{99 b^{4}} $$
Problem 10
In \(3-14,\) determine whether each of the numbers is rational or irrational. $$ \frac{\sqrt{5}}{\sqrt{5}} $$
Problem 11
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. $$ \sqrt{24 x y^{2}}+\sqrt{54 x y^{2}} $$
Problem 11
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt{16} $$
Problem 11
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. $$ 5 \sqrt{200 x y^{2}} $$
