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Quiz

Year 2: Roots

10 questions with solutions for year 2: n-th roots, expanding and simplifying, roots of products and quotients, taking factors out, operations, rationalising, rational exponents.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. ∜81 = ?

2. ∛(−125) = ?

3. √(x²) for x = −7

4. √12 · √3 = ?

5. Take a factor out of the root: √50

6. √18 + √8 = ?

7. Rationalise the denominator: 6/√3

8. 8^(2/3) = ?

9. 16^(−1/2) = ?

10. For which x is √(x − 3) defined in the real numbers?