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Question Number 115646 by Khalmohmmad last updated on 27/Sep/20

Commented by Dwaipayan Shikari last updated on 27/Sep/20

$$5\left(\sqrt{\sqrt{3}-\sqrt{2}}\right)$$

Commented by Khalmohmmad last updated on 27/Sep/20

$$\mathrm{Solving}\mathrm{method}\mathrm{pl}$$

Commented by malwaan last updated on 28/Sep/20

$$\frac{5}{\sqrt{\sqrt{3}+\sqrt{2}}}\times \frac{\sqrt{\sqrt{3}+\sqrt{2}}}{\sqrt{\sqrt{3}+\sqrt{2}}}$$$$=\frac{5\sqrt{\sqrt{3}+\sqrt{2}}}{\sqrt{3}+\sqrt{2}}\times \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}$$$$=\frac{\left(5\sqrt{\sqrt{3}+\sqrt{2}}\right)(\sqrt{3}-\sqrt{2})}{3-2}$$$$=5\sqrt{\sqrt{3}+\sqrt{2}}(\sqrt{3}-\sqrt{2})$$$$=5\sqrt{\sqrt{3}+\sqrt{2}}\sqrt{{(\sqrt{3}-\sqrt{2})}^2}$$$$=5\sqrt{(\sqrt{3}+\sqrt{2})(\sqrt{3}-\sqrt{2})}\sqrt{\sqrt{3}-\sqrt{2}}$$$$=5\sqrt{3-2}\sqrt{\sqrt{3}-\sqrt{2}}$$$$=5\sqrt{\sqrt{3}-\sqrt{2}}$$

Answered by Dwaipayan Shikari last updated on 27/Sep/20

$$\frac{5}{\sqrt{\sqrt{3}+\sqrt{2}}}=\mathrm{p}$$$$\frac{5}{\sqrt{3-2}}.\sqrt{\sqrt{3}-\sqrt{2}}=5\sqrt{\sqrt{3}-\sqrt{2}}=\mathrm{p}$$

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