Math, asked by sasiphani, 1 year ago

rationalize denominator root6 / root 3 -root 2

Answers

Answered by gayatri777
19
hence it is rationalised ....
Attachments:
Answered by Anonymous
41
Hey friend !!!!

•°• Here's your answer •°•

que =  \frac{ \sqrt{6} }{ \sqrt{3}  -  \sqrt{2} }  \\  \\  =  \frac{ \sqrt{6} }{ \sqrt{3}  -  \sqrt{2} }  \times  \frac{ \sqrt{3 }  +  \sqrt{2} }{ \sqrt{3}  +  \sqrt{2} }  \\  \\  =  \frac{ \sqrt{6}( \sqrt{3}  +  \sqrt{2}  )}{ { (\sqrt{3}) }^{2}  -  ({ \sqrt{2} )}^{2} }  \\  \\  =  \frac{ \sqrt{18}  +  \sqrt{12} }{3 - 2}  \\  \\  =  \frac{ \sqrt{2 \times 3 \times 3} +  \sqrt{2 \times 2 \times 3}  }{1}  \\  \\  = 3 \sqrt{2}  + 2 \sqrt{3}

Hope it will help you ☆▪☆

Thanks ^_^

☆ Be Brainly ☆
Similar questions