Roots

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The following math revision questions are provided in support of the math tutorial on Roots. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Roots tutorials. The Roots calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Roots Revision Questions

1. . What is the side length of a square if its area is 64 cm²?

1. ± 8 cm
2. ± 16 cm
3. 8 cm
4. -8 cm

Reveal AnswerCorrect Answer: C

2. . The volume of a cube is 216 cm². What is the side length of this cube?

1. 36 cm
2. 14.7 cm
3. 6 cm
4. 3 cm

Reveal AnswerCorrect Answer: C

3. . What is the simplest form of the expression

1. 33 x 2
2. 27 x 2
3. 13 x 2
4. 7 x 2

Reveal AnswerCorrect Answer: D

4. . The expression

is equivalent to

1. √x ∙ y²/z
2. √x ∙ y²/z³
3. ∛(√x ∙ y²/z³)
4. ∛(x ∙ y²/z³)

Reveal AnswerCorrect Answer: D

5. . The expression

is equivalent to

1. x ∙ y
2. x³ ∙ y
3. ∛(x³ y³ )
4. ∛(x⁷ y³ )

Reveal AnswerCorrect Answer: D

6. . What is the equivalent fractional power of

1. 3^10/9
2. 3^7/6
3. 3^4/3
4. 3^1/3

Reveal AnswerCorrect Answer: A

7. . What is the simplest form of the expression

1. 1/√(12&2)
2. 1/∜2
3. 2^-12
4. 2

Reveal AnswerCorrect Answer: A

8. . What is

1. 2
2. √2
3. √8
4. 2³

Reveal AnswerCorrect Answer: A

9. . What is

1. 4
2. 2
3. √2
4. √8

Reveal AnswerCorrect Answer: B

10. . What is

1. -1
2. 1
3. 0
4. 2

Reveal AnswerCorrect Answer: B

Whats next?

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1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Powers and Roots Math tutorial: Roots. Read the Roots math tutorial and build your math knowledge of Powers and Roots
3. Powers and Roots Video tutorial: Roots. Watch or listen to the Roots video tutorial, a useful way to help you revise when travelling to and from school/college
4. Powers and Roots Revision Notes: Roots. Print the notes so you can revise the key points covered in the math tutorial for Roots
5. Check your calculations for Powers and Roots questions with our excellent Powers and Roots calculators which contain full equations and calculations clearly displayed line by line. See the Powers and Roots Calculators by iCalculator™ below.
6. Continuing learning powers and roots - read our next math tutorial: Standard Form

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Powers and Roots Calculators by iCalculator™

• Expressing Ordinary Numbers In Standard Form Calculator
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• Operations With Standard Numbers Calculator