Math, asked by devansh196, 8 months ago

please simplify this question I cant understand ​

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Answered by kohli8907
2

Answer:

 \frac{ \sqrt{5 }+  \sqrt{3} }{ \sqrt{80} +  \sqrt{48}  -  \sqrt{27} -  \sqrt{45} }   \\  \sqrt{80}  =  \sqrt{2 \times 2 \times 2 \times 2 \times 5} = 4 \sqrt{5}   \\   \sqrt{48}  =  \sqrt{2 \times 2 \times 2 \times 2 \times 3}  = 4 \sqrt{3}  \\  \sqrt{27}  =  \sqrt{3 \times 3 \times 3}  = 3 \sqrt{3}  \\  \sqrt{ 45}  =  \sqrt{3 \times 3 \times 5}  = 3 \sqrt{5}  \\  =   \frac{ \sqrt{5} +  \sqrt{3}  }{4 \sqrt{5} + 4 \sqrt{3} - 3 \sqrt{3}  - 3 \sqrt{5}   }   \\  =   \frac{ \sqrt{5} +  \sqrt{3}  }{4( \sqrt{5} +  \sqrt{3}  ) - 3( \sqrt{5} +  \sqrt{3} ) }  \\  =  \frac{ \sqrt{5} +  \sqrt{3}  }{(4 - 3)( \sqrt{5} +  \sqrt{3} ) }  \\  =  \frac{1}{4 - 3} \\   =  \frac{1}{1 }  = 1

I have typed it for long time..

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Answered by rajeev4567999
0

Answer is 1.

I hope it help you

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