Question

1/
$\frac{1}{ \sqrt{2} } + \frac{2}{ \sqrt{5} }$
​

Answer 1

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Answer 2

Multiply the numerator and the denominator with (5 - √2),

= \large \frac{1}{5 + \sqrt{2} } \times \frac{5 - \sqrt{2} }{5 - \sqrt{2} }=

5+

2

1

×

5−

2

5−

2

= \large \frac{5 - \sqrt{2} }{(5 + \sqrt{2})(5 - \sqrt{2} ) }=

(5+

2

)(5−

2

)

5−

2

= \large \frac{5 - \sqrt{2} }{ {(5)}^{2} - { (\sqrt{2}) }^{2} }=

(5)

2

−(

2

)

2

5−

2

= \large \frac{5 - \sqrt{2} }{ 25 - 2 }=

25−2

5−

2

= \large \frac{5 - \sqrt{2} }{ 23 }=

23

5−

2