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$\frac{\sqrt{6727}}{\sqrt{7}} = ?$

यदि $\sqrt{\left(1+\frac{27}{169}\right)}=1+\frac{x}{13}$ है,तो $x$ का मान ज्ञात कीजिए।

यदि $x * y = x + y + \sqrt{xy}$ है,तो $6 * 24$ का मान क्या होगा?

यदि $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}$ और $b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$ है,तो $\frac{a^{2} + ab + b^{2}}{a^{2} - ab + b^{2}}$ का मान ज्ञात कीजिए।

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$\sqrt{1000000.000001} = ?$

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