The correct option is C 5/(√(6))√(3)/√(2) + √(2)/√(3) = (√(3))^2 + (√(2))^2/(√(2))× (√(3)) = 3 + 2/(√(6)) = 5/(√(6)). ...

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Finding Square Root through Repeated Subtraction

Simplify : √3...

Question

Simplify : $\frac{\sqrt{3}}{\sqrt{2}} + \frac{\sqrt{2}}{\sqrt{3}}$

\frac{5}{(\sqrt{6})}

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\frac{6}{(\sqrt{5})}

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\frac{2}{(\sqrt{5})}

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\frac{5}{(\sqrt{2})}

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Solution

The correct option is A $\frac{5}{(\sqrt{6})}$
$\frac{\sqrt{3}}{\sqrt{2}} + \frac{\sqrt{2}}{\sqrt{3}} = \frac{(\sqrt{3})^{2} + (\sqrt{2})^{2}}{(\sqrt{2}) \times (\sqrt{3})} = \frac{3 + 2}{(\sqrt{6})} = \frac{5}{(\sqrt{6})}$ .

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Similar questions

\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}} + \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}

\frac{2 + \sqrt{3}}{\sqrt{2} + \sqrt{2 + \sqrt{3}}} + \frac{2 - \sqrt{3}}{\sqrt{2} - \sqrt{2 - \sqrt{3}}}

\frac{5 + \sqrt{3}}{2 - \sqrt{3}} + \frac{2 - \sqrt{3}}{2 + \sqrt{3}}

Simplify: $(3 \sqrt{3} + 2 \sqrt{2})$ $(2 \sqrt{3} + 3 \sqrt{2})$

\sqrt{3} + \sqrt{2}

\times

\sqrt{3} - \sqrt{2}

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