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Polynomials

Question

Rationalisation of the denominator of $fraction numerator 1 over denominator square root of 5 plus square root of 2 end fraction$ gives

$fraction numerator 1 over denominator square root of 10 end fraction$
$square root of 5 plus square root of 2$
$square root of 5 minus square root of 2$
$fraction numerator open parentheses square root of 5 minus square root of 2 close parentheses over denominator 3 end fraction$

Solution

fraction numerator open parentheses square root of 5 minus square root of 2 close parentheses over denominator 3 end fraction