0. Review of Algebra

Rationalize the denominator and simplify the radical expression.

$\(\frac{\sqrt7}{5-\sqrt6}\)$

Rationalize the denominator.

$\(\frac{1}{\sqrt7}\)$

Rationalize the denominator.

$\(\frac{5}{\sqrt3-1}\)$

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

Rationalize the denominator. $\(\frac{6+\sqrt{x}\)}{-\(\sqrt{x}\)}$

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

Evaluate each expression or indicate that the root is not a real number.

$\(\frac{\sqrt7}{\sqrt3}\)$

Rationalize the denominator.

$\(\frac{\sqrt{2}\)}{\(\sqrt{5}\)}$

Rationalize the denominator.

$\(\frac{3}{3+\sqrt7}\)$

Rationalize the denominator. 

$-\(\frac{5}{2\sqrt7}\)$

Rationalize the denominator and simplify the radical expression.

$\(\frac{2-\sqrt3}{2+\sqrt3}\)$

Rationalize the denominator.

$\(\frac{6}{\sqrt5+\sqrt3}\)$

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.

$\frac{a}{(\surd a+b)-1}$