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Problem 43

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. $$\sqrt{\frac{5}{6}}$$

Problem 43

Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{25-9})^{2}$$

Problem 43

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

Problem 43

Solve the given equation. $$5 \sqrt{w}+3=4 \sqrt{w}+11$$

Problem 43

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. $$3 \sqrt{72}-5 \sqrt{32}$$

Problem 44

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. $$4 \sqrt{96}-5 \sqrt{24}$$

Problem 44

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. $$\sqrt{\frac{3}{10}}$$

Problem 44

Evaluate or simplify each expression. (Assume \(x \geq 0 .)\) $$(\sqrt{100}-\sqrt{36})^{2}$$

Problem 44

Perform the indicated operations. Simplify all answers as completely as possible. Assume that all variables appearing under radical signs are nonnegative. $$(4 \sqrt{a}+1)(3 \sqrt{a}-1)$$

Problem 44

Solve the given equation. $$6 \sqrt{t}+5=4 \sqrt{t}+9$$

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