Practice mode Surds and Indices

What is 1/(√5 − √3) with its denominator rationalised?

Correct answer C. (√5 + √3)/2

Explanation

Multiply top and bottom by (√5 + √3): the denominator becomes (√5)² − (√3)² = 5 − 3 = 2, giving (√5 + √3)/2.

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