Question

$(\frac {\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}})+(\frac {\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}) =$

• A. 5
• B. $2\sqrt{2}$
• C. $3\sqrt{2}$
• D. 10

Answer 1

Answer:

D. 10

$(\frac {\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}})+(\frac {\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}) =$

$$ഛേദത്തിന്റെ LCM കണ്ടുപിടിച്ചു അംശത്തെയും ഛേദത്തെയും LCM കൊണ്ട് ഗുണിച്ചാൽ

$\frac{(\sqrt{3}-\sqrt{2})^2+(\sqrt{3}+\sqrt{2})^2}{(\sqrt{3}+\sqrt{2})(\sqrt{3}-\sqrt{2})} = $

$\frac{3-2\sqrt{6}+2+3+2\sqrt{6}+2}{\sqrt{3}^2 - \sqrt{2}^2} =$

$\frac{10}{3-2}=10$