Rationalising the denominator - medium difficulty
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