91Ó°ÊÓ

For Problems \(65-74\), use the distributive property to help simplify each of the following. All variables represent positive real numbers. $$ 7 \sqrt{4 a b}-\sqrt{16 a b}-10 \sqrt{25 a b} $$

Rationalize the denominator and simplify. All variables represent positive real numbers. $$ \frac{\sqrt{x}-2}{\sqrt{x}+6} $$

Find the indicated products and quotients. Express final results using positive integral exponents only. \(\left(\frac{35 x^{-1} y^{-2}}{7 x^{4} y^{3}}\right)^{-1}\)

Change each radical to simplest radical form. \(\frac{\sqrt[3]{27}}{\sqrt[3]{4}}\)

Simplify each of the following. Express final results using positive exponents only. $$ \frac{48 b^{\frac{1}{3}}}{12 b^{\frac{3}{4}}} $$

Rationalize the denominator and simplify. All variables represent positive real numbers. $$ \frac{\sqrt{x}+1}{\sqrt{x}-10} $$

Change each radical to simplest radical form. \(\frac{\sqrt[3]{8}}{\sqrt[3]{16}}\)

Find the indicated products and quotients. Express final results using positive integral exponents only. \(\left(\frac{-48 a b^{2}}{-6 a^{3} b^{5}}\right)^{-2}\)

For Problems \(65-74\), use the distributive property to help simplify each of the following. All variables represent positive real numbers. $$ 4 \sqrt{a b}-9 \sqrt{36 a b}+6 \sqrt{49 a b} $$

Simplify each of the following. Express final results using positive exponents only. $$ \frac{56 a^{\frac{1}{6}}}{8 a^{\frac{1}{4}}} $$