Simphlification (Question:398278.0)

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Amit

· started a discussion

· 1 Months ago

Simphlification (Question:398278.0)

Sir samajh nahi aaya

Question:

Simplify : $\frac{\sqrt{7}}{\sqrt{{(3 + \sqrt{7})}^{2}} - \sqrt{{(3 - \sqrt{7})}^{2}}}$

Options:

$2 \sqrt{7}$

$\frac{1}{2}$

$\sqrt{7}$

Solution:

$\begin{matrix} \frac{\sqrt{7}}{\sqrt{{(3 + \sqrt{7})}^{2}} - \sqrt{{(3 - \sqrt{7})}^{2}}} \\ = \frac{\sqrt{7}}{3 + \sqrt{7} - 3 + \sqrt{7}} \\ = \frac{\sqrt{7}}{2 \sqrt{7}} = \frac{1}{2} \end{matrix}$

Tilak Rohilla

· commented

· 1 Months ago

root alg alg hai denominator me, isley square se root cancel out hogya

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Simphlification (Question:398278.0)

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