Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a rational exponents quiz? Then this Algebra 2 quiz on Radicals and Rational Exponents Made Clear asks 10 multiple-choice questions with instant feedback.
Ten multiple-choice questions on roots, rational exponents, and radical equations. Pay attention to which number in a rational exponent is the root, and remember to test candidate solutions in the original equation.
Standards: N-RN.A.1, N-RN.A.2, A-REI.A.2 · Level: Grade 11 Algebra 2
What this Radicals and Rational Exponents Made Clear quiz checks
- a1/n is the n-th root of a, and am/n = (n√a)m.
- Odd roots of negative numbers are real; even roots of negative numbers are not.
- The usual exponent rules (add, subtract, multiply exponents) work for rational exponents.
- Simplify a radical by pulling out perfect n-th power factors.
- Squaring both sides can add extraneous solutions, so always check in the original equation.
The 10 questions of the quiz
- What is 82/3?
- Simplify √75.
- Which radical equals x3/4?
- Solve √(x + 2) = 5.
- The graphs of y = √(x + 12) and y = x are shown. Which statement about √(x + 12) = x is true?
- Simplify x7/12 · x1/4 for x > 0.
- Simplify (4√6)(3√2).
- The graph of y = ∛x is shown. What is the value of y when x = −8?
- Which step is required after squaring both sides of a radical equation?
- What is 27−1/3?
After the quiz
Missed a question? Reread the Radicals and Rational Exponents Made Clear lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Radicals and Rational Exponents Made Clear, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.