91Ó°ÊÓ

Simplify each expression as completely as possible. Be sure your answers are in simplest radical form. Assume that all variables appearing under radical signs are nonnegative. $$\sqrt{x^{6} y^{8}}$$

Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{5})^{2}$$

In each of the following, perform the indicated operations and simplify as completely as possible. Assume all variables appearing under radical signs are non negative. $$4(\sqrt{11}-\sqrt{7})+5(\sqrt{7}-\sqrt{11})$$

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$4 \sqrt{a}(2 \sqrt{a}+3 \sqrt{7})$$

Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{33})^{2}$$

Solve the given equation. $$10-2 \sqrt{y}=4$$

Simplify each expression as completely as possible. Be sure your answers are in simplest radical form. Assume that all variables appearing under radical signs are nonnegative. $$\sqrt{49 a^{8} b^{12}}$$

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$3 \sqrt{2}(\sqrt{2}-4)+\sqrt{2}(5-\sqrt{2})$$

In each of the following, perform the indicated operations and simplify as completely as possible. Assume all variables appearing under radical signs are non negative. $$5(3 \sqrt{6}+2 \sqrt{7})-4(\sqrt{7}-2 \sqrt{6})$$

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$5 \sqrt{3}(\sqrt{3}-2)+\sqrt{3}(7-\sqrt{3})$$