Write the lowest rationalising factor of : 13 + 3 - Vidyadip

Question

Write the lowest rationalising factor of : $\sqrt13 + 3$

✓

Answer

$( \sqrt13 + 3 )( \sqrt13 - 3 )$
$= ( \sqrt13 )^2 - 3^2$
$=13 - 9 $
$= 4$
Its lowest rationalizing factor is $\sqrt13 - 3.$

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