Rationalise the denominator of 1/(√3 − √2) and hence find the value of the expression correct to two decimal places.

√3 + √2, which is about 3.15

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Explanation

Multiplying above and below by the conjugate √3 + √2 gives (√3 + √2)/(3 − 2) = √3 + √2. Taking √3 as 1.732 and √2 as 1.414 gives 3.146, that is 3.15 to two decimal places.