Rationalising the denominator - medium difficulty

Rationalising the denominator worksheet
Rationalising the denominator worksheet

Rationalising the denominator is a useful skill that often pops up when working with fractions in algebra and trigonometry. It's especially helpful in simplifying expressions, making them easier to work with in real-life applications like physics and engineering, where messy square roots can complicate calculations. Jump to the questions

Practise now

Q1: Rationalise ( 9 + 1√5 ) / √5
√5

Q2: Rationalise ( 3 - 3√2 ) / √2
√2

Q3: Rationalise ( 12 + 4√2 ) / √2
√2

Q4: Rationalise ( 6 - 2√5 ) / √5
√5

Q5: Rationalise ( 7 + 5√3 ) / √3
√3

Q6: Rationalise ( 12 + 5√2 ) / √2
√2

Q7: Rationalise ( 6 - 3√2 ) / √2
√2

Q8: Rationalise ( 2 + 6√2 ) / √2
√2

Score: 0/8