The Laws, Written Out
Surds & Rationalising
Practice
Law
Multiply: a^m × a^n
Divide: a^m ÷ a^n
Power of a power: (a^m)^n
Power of a product: (ab)^m
Base a
2
Index m
3
Index n
2
written out in full
Task
Simplify a surd
Rationalise 1 / √b
Rationalise 1 / (a + √b)
Number under the root
72
a
3
every factor of the number — the square ones are highlighted
1
—
Check
Hint
Start again
←
→
How to think about it
Common mistakes