Math, asked by aaradhya355, 1 year ago

it's answer is -2/3 root 5

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Answered by Anonymous
0
yes ir answer is right

aaradhya355: Hmm
aaradhya355: but I want its steps
Answered by sibhiamar
1

 \frac{2 \sqrt{30} }{ \sqrt{6} }  -  \frac{3 \sqrt{140} }{ \sqrt{28} }  +   \frac{ \sqrt{55} }{ \sqrt{99} }   \\  =  \frac{2 \sqrt{30 } }{ \sqrt{6} }  \times  \frac{ \sqrt{6} }{ \sqrt{6} }  -  \frac{3 \sqrt{140} }{ \sqrt{28} }  \times  \frac{ \sqrt{28} }{ \sqrt{28} }  +  \frac{ \sqrt{55} }{ \sqrt{99} }  \times  \frac{ \sqrt{99} }{ \sqrt{99} }  \\  =  \frac{2 \sqrt{180} }{6}  -  \frac{3 \sqrt{3920} }{28}  +  \frac{ \sqrt{5445} }{99}  \\  =  \frac{24 \sqrt{5} }{6}  -  \frac{84 \sqrt{5} }{28}  +  \frac{33 \sqrt{5} }{99}  \\  =  4\sqrt{5}  - 3 \sqrt{5}  +  \frac{ \sqrt{5} }{3}  \\  =   \sqrt{5}  +   \frac{ \sqrt{5} }{3} \\  =  \frac{3 \sqrt{5}  +  \sqrt{5} }{3}  \\  =  \frac{4 \sqrt{5} }{3}
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