The value of $$\frac{\sqrt{0.6912} + \sqrt{0.5292}}{\sqrt{0.6912} - \sqrt{0.5292}}$$ is:
Expression :Â $$\frac{\sqrt{0.6912} + \sqrt{0.5292}}{\sqrt{0.6912} - \sqrt{0.5292}}$$
Using rationalization, =Â $$\frac{\sqrt{0.6912} + \sqrt{0.5292}}{\sqrt{0.6912} - \sqrt{0.5292}}$$Â $$\times\frac{\sqrt{0.6912} + \sqrt{0.5292}}{\sqrt{0.6912} + \sqrt{0.5292}}$$
= $$\frac{(\sqrt{0.6912}+\sqrt{0.5292})^2}{(\sqrt{0.6912})^2-(\sqrt{0.5292})^2}$$
= $$\frac{0.6912+0.5292+2\sqrt{0.6912\times0.5292}}{0.6912-0.5292}$$
= $$\frac{1.2204+1.2096}{0.162}=15$$
=> Ans - (C)
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