Question

evalute
$6 \sqrt{ \div 6 \sqrt{ - 12 \sqrt{?} } }$
​

Answer 1

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Answer 2

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\blue{\:\:\:\:\:Given:-\:\:\:\:\:}}$

$\sf \dfrac{6}{\sqrt{12}-\sqrt{3}}\\ \\ \sf \bullet\:we\:have\:to\: rationalize\:this$

Now

$\sf\underline{\pink{\:\:\:\:\: Solution:-\:\:\:\:\:}}$

$\sf \implies \dfrac{6}{\sqrt{12}-\sqrt{3}}\times \dfrac{(\sqrt{12}+\sqrt{3})}{(\sqrt{12}+\sqrt{3})}\\ \\ \sf\implies \dfrac{6(\sqrt{12}+\sqrt{3})}{(\sqrt{12}){}^{2}-(\sqrt{3}){}^{2}}\\ \\ \sf\implies \dfrac{6\times (\sqrt{12}+\sqrt{3})}{12-3}\\ \\ \sf\implies \dfrac{\cancel6(\sqrt{12}+\sqrt{3})}{\cancel9}\\ \\ \sf\implies \dfrac{2\sqrt{12}+2\sqrt{3}}{3}$

$\underline{\boxed{\mathfrak{\purple{\dfrac{2\sqrt{12}+2\sqrt{3}}{3}}}}}$