Perform the indicated operations. Assume all variables represent positive real numbers. 5√6 + 2√10

Perform the indicated operations. Assume all variables represent positive real numbers. √6(3 + √7)

Perform the indicated operations. Assume all variables represent positive real numbers. 4√3(√7 - 2√11)

Perform the indicated operations. Assume all variables represent positive real numbers. (√2 + 3) (√2 - 3)

Perform the indicated operations. Assume all variables represent positive real numbers. (∛11 - 1) (∛11² + ∛11 +1)

Perform the indicated operations. Assume all variables represent positive real numbers. (√3 + √8)²

Perform the indicated operations. Assume all variables represent positive real numbers. (3√2 + √3) (2√3 - √2)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. 5/√2

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∛2/3

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∜2/25

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. √(2/3x)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. $\sqrt{\frac{x^5{y}^3}{z^2}}$

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. ∛(8/x⁴)

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. $\sqrt[4]{\frac{g^3h^5}{9r^6}}$

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. $\frac{-4}{\sqrt[3]{3}} + \frac{1}{\sqrt[3]{24}} - \frac{2}{\sqrt[3]{81}}$

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. 1/(2 + √5)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. $\frac{\sqrt{7} - 1}{2\sqrt{7} + 4\sqrt{2}}$

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. (1 + √3) / (3√5 + 2√3)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. (p - 4) / (√p + 2)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. (9 - r) / (3 - √r)

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. $\frac{3m}{2 + \sqrt{m + n}}$

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0. 5√x / (2√x + √y)