Question

Please tell me ............................

Answer 1

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

first simplify the equation that is on LHS

$= 5 - 2 \sqrt{6}$

Now take LHS and RHS equal

$a + b \sqrt{6} = 5 - 2 \sqrt{6}$

It is given then you can find that

a=5 and b= -2

Note

• observe the question properly
• Then take LHS in most questions but some questions need simplification of RHS
• Then take RHS and LHS both
• You find that there is some similarities between LHS and RHS
• except the number given (√6) you are able to find the answer

Hope you find it helpful

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