0. Review of College Algebra

Write each rational expression in lowest terms. See Example 2. (8k + 16) / (9k + 18)

Rationalize each denominator. See Example 8. (√2 - √3)/(√6 - √5)

Simplify. See Example 9. (1/2)/(1 - (√5/2))

Rationalize the denominator and simplify the radical expression.

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

Use the product and quotient rules for radicals to rewrite each expression. See Example 4. √3 • √27

Simplify. See Example 9. (√3/2)/(1 - (√3/2))

Rationalize each denominator. See Example 8. 6/(√5 + √3)

Write each rational expression in lowest terms. See Example 2. 3 (3 - t) / ((t + 5) (t - 3))

Add or subtract, as indicated. See Example 6. √45 + 4√20

Simplify each complex fraction. See Examples 5 and 6. (−4/3) ÷ (2/9)

Use the product and quotient rules for radicals to rewrite each expression. See Example 4. √5 /√20

Simplify each complex fraction. See Examples 5 and 6. (x/y + y/x) / (x/y − y/x)

Find the domain of each rational expression. See Example 1. (3x + 7) / (4x + 2) (x - 1)

Simplify each complex fraction. See Examples 5 and 6. [ (−4/3) + 12/5 ] / [ 1 − (−4/3)(12/5) ]

Find the square of each radical expression. See Example 2. √2 /3