# Important information about rational and radical expressions

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Week4: Class work: Radicals and Rational Exponents

1. Square root of a rational perfect square. Be sure to write your answer in lowest terms and simplify.

2. Square root simplification. Rewrite the following in simplified radical form.

3. Simplifying a radical expression: Problem type 1. Assume that all variables represent positive real numbers. Rewrite the following in simplified radical form.

4. Simplifying a sum of radical expressions. Simplify the following expression as much as possible:

5. Simplifying a product of radical expressions. Assume that all variables represent positive real numbers. Simplify.

6. Simplifying a product of radical expressions using the distributive property. Multiply. Simplify your answer as much as possible.

7. Rationalizing the denominator of a radical expression. Rationalize the denominator and simplify:

9. Rational exponents: Basic. Write without exponents:

10. Cube root of an integer.

13. Solving an equation with exponent using the even-root property

15. Solve the following equation by using the quadratic formula:

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#### Solution Summary

This provides examples of working with radical and rational expressions, including simplifying sum and product, solving, quadratic formula, and distributive property.