Back to MathematicsPractice this
Paper 3
Surds & Indices
Higher
Keep surd simplification steps neat.
Key Facts
- a^(m) × a^(n) = a^(m+n)
- a^(-n) = 1/a^n
Topics Covered
Simplify Surds
What you need to know
- •Factor into square numbers to simplify.
Exam Tips
- Look for factors like 4, 9, 16.
Index Laws
What you need to know
- •a^m × a^n = a^(m+n).
- •a^0 = 1.
Exam Tips
- Match bases before applying laws.
Key Terms
Surd
An irrational root left in exact form.
Index
The power that shows how many times to multiply.
Loading practice drills...
Common Exam Questions
Simplify √98.
2 marksmediumPaper 3
Model Answer
7√2
What examiners want to see
- ✓Factor 98 into 49 × 2.
Simplify 5^3 × 5^2.
1 markeasyPaper 3
Model Answer
5^5
What examiners want to see
- ✓Add the powers.
Related Topics
Other topics you might find useful