Question

rationalize the denominator
$1 \div \sqrt{5 } - \sqrt{3}$

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Answer 1

$\huge\mathbb{SOLUTION:-}$

• we have to rationalize
• By its denominator !

$\bf\underline{\red{According\:To\: Question:-}}$

$\sf\implies \dfrac{1}{\sqrt{5}-\sqrt{3}}\\ \\ \sf\implies Rationalize\:By\: it's\: Denominator\\ \\ \sf Denominator=\sqrt{5}-\sqrt{3}\\ \\ \sf\implies \dfrac{1}{\sqrt{5}-\sqrt{3}}\times \dfrac{(\sqrt{5}+\sqrt{3})}{(\sqrt{5}+\sqrt{3})}\\ \\ \sf This\:is\:in\:the\:form\\ \\ \sf of \:\:\:a{}^{2}-b{}^{2}=(a+b)(a-b)\\ \\ \sf\implies \dfrac{\sqrt{5}+\sqrt{3}}{(\sqrt{5}){}^{2}-(\sqrt{3}){}^{2}}\\ \\ \sf\implies \dfrac{\sqrt{5}+\sqrt{3}}{5-3}\\ \\ \sf\implies \dfrac{\sqrt{5}+\sqrt{3}}{2}$

• The answer is

$\huge\boxed{\mathfrak{\dfrac{\sqrt{5}-\sqrt{3}}{2}}}$

Answer 2

Answer:

Hey! here is your answwr!

Hope its helpful!