Write the lowestrationalising factor of : 5 - 3 - Vidyadip

Question

Write the lowestrationalising factor of :$\sqrt5 - 3$

✓

Answer

$( \sqrt5 - 3 )( \sqrt5 + 3 )$
$= ( \sqrt5 )^2 - (3)^2$
$= 5 - 9$
$= -4$
∴ lowest rationalizing factor is $( \sqrt5 + 3 )$

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