91Ó°ÊÓ

For Problems \(1-20\), use the distributive property to help simplify each of the following. For example, $$ \begin{aligned} 3 \sqrt{8}-\sqrt{32} &=3 \sqrt{4} \sqrt{2}-\sqrt{16} \sqrt{2} \\ &=3(2) \sqrt{2}-4 \sqrt{2} \\ &=6 \sqrt{2}-4 \sqrt{2} \\ &=(6-4) \sqrt{2}=2 \sqrt{2} \end{aligned} $$ $$ \frac{3}{4} \sqrt{7}-\frac{2}{3} \sqrt{28} $$

For Problems \(1-14\), multiply and simplify where possible. $$ (2 \sqrt[3]{4})(6 \sqrt[3]{2}) $$

For Problems \(1-30\), evaluate each numerical expression. $$ \left(\frac{1}{27}\right)^{-\frac{1}{3}} $$

For Problems 1-56, solve each equation. Don't forget to check each of your potential solutions. $$ \sqrt{4 y-3}-6=0 $$

Simplify each numerical expression. \(\left(-\frac{3}{4}\right)^{0}\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(\sqrt{\frac{25}{64}}\)

For Problems \(1-20\), use the distributive property to help simplify each of the following. For example, $$ \begin{aligned} 3 \sqrt{8}-\sqrt{32} &=3 \sqrt{4} \sqrt{2}-\sqrt{16} \sqrt{2} \\ &=3(2) \sqrt{2}-4 \sqrt{2} \\ &=6 \sqrt{2}-4 \sqrt{2} \\ &=(6-4) \sqrt{2}=2 \sqrt{2} \end{aligned} $$ $$ \frac{3}{5} \sqrt{5}-\frac{1}{4} \sqrt{80} $$

For Problems \(1-30\), evaluate each numerical expression. $$ \left(-\frac{8}{27}\right)^{-\frac{1}{3}} $$

Simplify each numerical expression. \(\frac{1}{\left(\frac{4}{5}\right)^{-2}}\)

For Problems 1-56, solve each equation. Don't forget to check each of your potential solutions. $$ \sqrt{3 y+5}-2=0 $$