0. Review of Algebra

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

Rationalize the denominator. 

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

Rationalize the denominator and simplify the radical expression.

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

Rationalize the denominator and simplify the radical expression.

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

Rationalize the denominator.

$\frac{1}{\sqrt7}$

Rationalize the denominator.

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

Rationalize the denominator.

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

Rationalize the denominator.

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

Rationalize the denominator.

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

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

$\frac{\sqrt7}{\sqrt3}$

Rationalize each denominator. Assume all variables represent nonnegative numbers and that no denominators are 0.

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

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

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. (1 + √3) / (3√5 + 2√3)