91Ó°ÊÓ

Simplify each expression. All variables of square root expressions represent positive numbers. Assume no division by 0. $$\sqrt{\frac{36 m^{2} n^{9}}{100 m n^{3}}}$$

Simplify. All variables represent positive values. $$\sqrt{180}-\sqrt{112}+\sqrt{45}-\sqrt{700}$$

Simplify. Assume that all variables in the radicand of an even root represent positive values. Assume no division by 0. Express each answer with positive exponents only. $$-32^{1 / 5}$$

Simplify. All variables in square root problems represent positive values. Assume no division by 0. $$\frac{3}{\sqrt{11}}$$

Simplify. All variables in square root problems represent positive values. Assume no division by 0. $$\frac{5}{\sqrt{32}}$$

Simplify each radical expression. If the answer is not exact, round to the nearest hundredth. All variables represent positive values $$\sqrt{36 z^{36}}$$

Simplify each expression. All variables of square root expressions represent positive numbers. Assume no division by 0. $$\frac{3}{4} \sqrt{192 a^{3} b^{5}}$$

Use a calculator to help solve each. If an answer is not exact, round it to the nearest tenth. The formula \(D=\sqrt{2 h}\) can estimate the distance (in miles) to the horizon from a given height (in feet) above the water. If Kevin's eye-level view from an overlook is 98 feet above the ocean when he sees a ship on the horizon, how far is he from that ship?

Simplify. All variables represent positive values. $$\sqrt[3]{135 x^{7} y^{4}}-\sqrt[3]{40 x^{7} y^{4}}$$

Simplify. Assume that all variables in the radicand of an even root represent positive values. Assume no division by 0. Express each answer with positive exponents only. $$-243^{1 / 5}$$