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