Question
Write the lowestrationalising factor of $:\sqrt18 - \sqrt50$
✓
Answer
$ \sqrt{18 } -\sqrt{50 } $
$ \sqrt{18 } -\sqrt{50}=\sqrt{2 \times 3 \times 3}-\sqrt{5 \times 5 \times 2}$
$=3 \sqrt{2-5 } \sqrt{2 } $
$=-2 \sqrt{ 2} $
$\therefore$ lowest rationalizing factor is $\sqrt{ 2} $
$ \sqrt{18 } -\sqrt{50}=\sqrt{2 \times 3 \times 3}-\sqrt{5 \times 5 \times 2}$
$=3 \sqrt{2-5 } \sqrt{2 } $
$=-2 \sqrt{ 2} $
$\therefore$ lowest rationalizing factor is $\sqrt{ 2} $
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