What is 3√2/(√6 + √3) with its denominator rationalised?
Correct answer B. 2√3 − √6
Explanation
Multiply by (√6 − √3)/(√6 − √3): the denominator becomes 6 − 3 = 3. So 3√2(√6 − √3)/3 = √12 − √6 = 2√3 − √6.
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