Math, asked by huda4268, 1 year ago

simplify root 7-root 5 divided by root 7+root 5 by rationalizing the denominator​

Answers

Answered by shantanu9987
0

Answer:

I don't know

Step-by-step explanation:

I don't know

Answered by ihrishi
2

Answer:

 \frac{ \sqrt{7}  -   \sqrt{5} }{\sqrt{7}   +    \sqrt{5}}  = \frac{ \sqrt{7}  -   \sqrt{5} }{\sqrt{7}     +      \sqrt{5}}  \times \frac{ \sqrt{7}  -   \sqrt{5} }{\sqrt{7}    -     \sqrt{5}}  \:  \\  =  \frac{ { (\sqrt{7}  -  \sqrt{5}) }^{2} }{ { (\sqrt{7}) }^{2}  -  {( \sqrt{5} )}^{2} }   \\ =  \frac{7 + 5 - 2 \sqrt{35} }{7 - 5}  =  \frac{12 - 2 \sqrt{35} }{2}  \\  =  \frac{2(6 -  \sqrt{35)} }{2}  \\  = 6 -  \sqrt{35}

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