Math, asked by shruti22107, 3 months ago

please help me and i wll mark as brainliest ​

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Answered by sharmamanasvi007
8

Answer:

\huge\purple{\underbrace{\textsf{\textbf{\pink{Answer}}}}}

\frac{ \sqrt{2} }{ \sqrt{5} }  \\  \\   \sf {\implies\frac{  \sqrt{2}  }{ \sqrt{5}} }  \times  \frac{ \sqrt{5} }{ \sqrt{5} }  \\  \\    \sf{ \implies {\boxed{\frac{ \sqrt{10} }{5}}}}

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 \frac{ \sqrt{3}  + 1}{ \sqrt{2} }   \\  \\ \sf {\implies \frac{ \sqrt{3} + 1 }{ \sqrt{2} }  \times  \frac{ \sqrt{2} }{  \sqrt{2}  } }  \\  \\ \sf {\implies { \boxed{ \frac{ \sqrt{6}  +  \sqrt{2} }{2} }}}

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\frac{3 \sqrt{2} }{ \sqrt{3} }   \\  \\ \sf {\implies \frac{ 3\sqrt{2} }{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{  \sqrt{3}  } }  \\  \\ \sf {\implies { \frac{ 3\sqrt{6} }{3} }} \\  \\  \sf { \implies { \boxed { \sqrt{6} }}}

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\frac{\sqrt{5}  + 1}{ \sqrt{10} }   \\  \\ \sf {\implies \frac{ \sqrt{5}  + 1}{ \sqrt{10} }  \times  \frac{ \sqrt{10} }{  \sqrt{10}  } }  \\  \\ \sf {\implies { \boxed { \frac{ \sqrt{50}  +  \sqrt{10} }{10} }}}

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  \frac{1}{ \sqrt{6}  -  \sqrt{5} }   \\  \\ \sf {\implies \frac{1}{ \sqrt{6}  -  \sqrt{5} }  \times  \frac{ \sqrt{6}  +  \sqrt{5} }{  \sqrt{6}  +  \sqrt{5} } }  \\  \\ \sf {\implies  \frac{ \sqrt{6}   +  \sqrt{5}  }{( { \sqrt{6}) }^{2}   -   {( \sqrt{5} )}^{2} }} \\  \\  \sf {\implies  { \frac{ \sqrt{6}  +  \sqrt{5} }{6  -  5} }} \\  \\  \sf {\implies  { \frac{ \sqrt{6}  +  \sqrt{5} }{1} }} \\  \\  \sf {\implies { \boxed{  \sqrt{6}  +  \sqrt{5}}} }

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