# Algebra - practice problem set

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Intermediate Algebra problems in radicals, radical functions, and rational exponents.

(See attached file for full problem description)

These algebra problems all relate to radicals, radical functions, and rational exponents.

Simplify the expression. Include absolute value bars where necessary.

4√t4

Multiply and simplify. Assume that all variables in a radicand represent positive real numbers.

3√20x7y * 3√25x13y10

Add or subtract as indicated.

2√12x3 + √3x

Solve the equation.

√2x + 5 - √x - 2 = 3

Perform the indicated operation. Write the result in the form a + bi.

(6 + 8i) - (-7 + i)

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These algebra problems all relate to radicals, radical functions, and rational exponents.

Simplify the expression. Include absolute value bars where necessary.

4√t4

n√tn = ±t

So the answer is + or - t. The 4th root of t4 is ±t.

Multiply and simplify. Assume that all variables in a radicand ...

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