Question

Rationalize the denominates
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Answer 1

3/√5= 3/√5×√5/√5
= 3√5/(√5)²
= 3√5/5
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Answer 2

$\sf{{Question:-}}$

$\sf{{Rationalize \ the \ denominator:-}}$

$\sf\dfrac{3}{\sqrt{5}}$

$\sf{{Solution:-}}$

$\sf{{Rationalizing \ Denominator = \sqrt{5}}}$

$\implies\sf \dfrac{3}{\sqrt {5}}\times$$\sf\dfrac{\sqrt {5}}{\sqrt {5}}$

$\implies \sf\dfrac{3\times \sqrt{5}}{\sqrt{5}\times \sqrt{5}}$

$\implies \sf\dfrac{3 \sqrt{5}}{(\sqrt{5}^{2})}$

$\implies \sf\dfrac{3 \sqrt{5}}{5}$

$\sf{{Therefore,}}$

$\sf{{Required \ Answer:- }}$

$\sf\dfrac{3 \sqrt{5}}{5}$

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• Multiply both numerator and denominator with $\sqrt{5}$

• Multiplying the numerator with $\sqrt{5}$ gives 3$\sqrt{5}$

• Multipying the denominator with $\sqrt{5}$ gives $\sqrt{5}$$\times \sqrt{5}$ which equates to 5.

• So the numerical expression $\sf\dfrac{3}{\sqrt{5}}$ becomes $\sf\dfrac{3 \sqrt{5}}{5}$

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