Explore BrainMass
Share

Explore BrainMass

    Solve: Rational Exponents and Radicals

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression. Explain how the process of combining radicals through addition and subtraction is similar to combining polynomials. What makes two radicals like radicals? Give an example.

    © BrainMass Inc. brainmass.com October 10, 2019, 1:50 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/solve-rational-exponents-radicals-351313

    Solution Preview

    What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical expression.

    Rational exponent: When a number is in the form where both m and n are integers then the exponent is called a rational exponent.
    The simplest case of such exponents is where n is an integer other than zero.
    When we say , it means .
    In other words, when we write , we are asking for the number 'a' that might have been raised to the power n to get b. In this situation, we can ...

    Solution Summary

    This solution is provided in full in a Word document and explains how the process of combining radicals through addition and subtraction is similar to combining polynomials.

    $2.19