Math, asked by ayushdd99, 11 months ago

rationalise the question:

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Answered by Anonymous
5
Hii
Nice question

Question:-

1 / (√7 + √3 - √2)

Answer:-

  = \frac{1}{ \sqrt{7} }  +  \frac{1}{ \sqrt{3} }  -  \frac{1}{ \sqrt{2} }  \\  = ( \frac{1}{ \sqrt{7} }  \times  \frac{ \sqrt{7} }{ \sqrt{7} } ) + ( \frac{1}{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} } ) -  \frac{1}{ \sqrt{2} }   \times  \frac{ \sqrt{2} }{ \sqrt{2} }  \\  =   \frac{ \sqrt{7} }{ { (\sqrt{7}) }^{2} }  +  \frac{ \sqrt{3} }{ ({ \sqrt{3} )}^{2} }  -  \frac{ \sqrt{2} }{ { (\sqrt{2}) }^{2} }  \\  =  \frac{ \sqrt{7} }{7}   +  \frac{ \sqrt{3} }{3}   -  \frac{ \sqrt{2} }{2}  \\  =  \frac{6 \sqrt{7}  + 14 \sqrt{3}  - 21 \sqrt{2} }{42}

Hope this helps u..
Answered by Anonymous
1

hope it helps!

#sumedhian ❤❤

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