# Surds

The following math revision questions are provided in support of the math tutorial on Surds. 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 Surds tutorials. The Surds calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

Not sure on some or part of the Surds questions? Review the tutorials and learning material for Surds

Powers and Roots Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
7.4Surds

## Surds Revision Questions

1. . Which of the following numbers is NOT a surd?

1. √17
2. √60
3. ∛216
4. ∜27

2. . Which of the following numbers is irrational but not transcendental? (r is radius of a circle)

1. π
2. √65.61
3. πr2
4. √(5&16)

3. . The number ∛40 is .

1. Transcendental
2. Surd
3. Rational
4. Integer

4. . Which of the following surds is identical to √(5&64) ?

1. 2/2
2. 2
3. 2√2
4. 2√(5&2)

5. . The surd ∛24 is not or cannot become a .........surd.

1. Pure
2. Mixed
3. Compound
4. Simple

6. . What is the simplest form of the expression

√12 + √27
1. 39
2. 5√3
3. 7√3
4. 13√3

7. . What is the simplest form of the expression

2 + √18/2
1. 2
2. 2√2
3. 2
4. 3

8. . What is the simplest form of the expression

√6 - √12/3√2 - 6
1. 3/3
2. 3
3. -√6/√18 - 6
4. -1/2

9. . What is the simplest form of the expression

∛16 - ∛2/2∛2
1. 1/2
2. 7√2
3. 7∛2
4. ∛2

10. . What kind of surd is √5 + √10 ?

1. Mixed
2. Compound
3. Binomial
4. Similar

## Whats next?

Enjoy the "Surds" practice questions? People who liked the "Surds" practice questions found the following resources useful:

1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Powers and Roots Math tutorial: Surds. Read the Surds math tutorial and build your math knowledge of Powers and Roots
3. Powers and Roots Video tutorial: Surds. Watch or listen to the Surds video tutorial, a useful way to help you revise when travelling to and from school/college
4. Powers and Roots Revision Notes: Surds. Print the notes so you can revise the key points covered in the math tutorial for Surds
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: Rationalising the Denominator