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Magazine Problem 31
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{a+2}{b-\sqrt{2}}\)
Problem 32
Rationalize the denominator and write each fraction in simplest form. All variables represent positive numbers. \(\frac{2 \sqrt{x}-5 \sqrt{y}}{\sqrt{x}+\sqrt{y}}\)
Problem 32
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. $$ \sqrt{2.42 a b^{5}} $$
Problem 32
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt{100 c^{4}}, c \geq 0 $$
Problem 32
In \(3-41\) , express each product in simplest form. Variables in the radicand with an even index are non-negative. $$ (7+\sqrt{5 y})(3-\sqrt{5 y}) $$
Problem 32
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. $$ \sqrt{100 y}-\sqrt{25 y} $$
Problem 32
In \(3-38,\) solve each equation for the variable, check, and write the solution set. $$ 2+\sqrt[3]{3 b-2}=6 $$
Problem 33
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. $$ \sqrt{8 a}-\sqrt{2 a} $$
Problem 33
In \(11-38,\) evaluate each expression in the set of real numbers. $$ \sqrt{0.25 x^{2}}, x \geq 0 $$
Problem 33
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. $$ \sqrt{0.001 x^{3}} $$
