91Ó°ÊÓ

Find all of its square roots. $$ 225 $$

Give an exact answer and, where appropriate, an approximation to three decimal places. One leg in a right triangle is \(1 \mathrm{m},\) and the hypotenuse measures \(\sqrt{2} \mathrm{m} .\) Find the length of the other leg.

Simplify. $$ \sqrt{\frac{4}{9}} $$

Simplify. $$ -\sqrt{\frac{81}{144}} $$

Add or subtract. Simplify by combining like radical terms, if possible. Assume that all variables and radicands represent positive real numbers. $$ \sqrt{4 x-4}-\sqrt{x^{3}-x^{2}} $$

Multiply. Assume that all variables represent nonnegative real numbers. $$ \sqrt{3}(6-\sqrt{3}) $$

Simplify. Assume that no radicands were formed by raising negative numbers to even powers. $$\sqrt[3]{x^{5} y^{6} z^{10}}$$

Rational Exponents Write an equivalent expression using exponential notation. $$(\sqrt[7]{8 x^{2} y})^{5}$$

Simplify. $$ -\sqrt[3]{-1000} $$

Identify the radicand and the index for each expression. $$ x^{2} y^{3} \sqrt[5]{\frac{x}{y+4}} $$