m m+Vm²- nm-ım’-n nº m-Vm- n²m+Vm– ...
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m m+Vm²- nm-ım’-n nº m-Vm- n²m+Vm– nJ4mm -n2

JEE/Engineering Exams
Maths
Solution
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( =left{begin{array}{l}frac{m+sqrt{m^{2}-n^{2}}-m-sqrt{m^{2}-n^{2}}}{m+sqrt{m^{2}-n}} int frac{n^{2}}{4 m sqrt{m^{2}-n^{2}}} =left[frac{left(m+sqrt{m^{2}-n^{2}}-2^{2}-(m-sqrt{m^{2}-n^{2}})^{2}right.}{(m-sqrt{m^{2}-n^{2}})(m+sqrt{m^{2}-n^{2}})}right]^{frac{n^{2}}{4 m sqrt{m^{2}-n^{2}}}}end{array}right. ) ( =frac{4 m sqrt{a^{2}}-n^{2} times 2^{2}}{20^{2}} times frac{4}{4 m sqrt{m^{2}}-n^{2}} ) ( =(1) )
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