Math, asked by Abhishek95265, 9 months ago

please solve this question I will give 30 points​

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Answers

Answered by swapna8653
1

Step-by-step explanation:

X=7+\sqrt{40}

1/x=1/7+\sqrt{40}

By rationalising

1/x=7-\sqrt{40}

\sqrt{x}=\sqrt{7+\sqrt{40} }

1/\sqrt{x}=\sqrt{7-\sqrt{40} }

By adding them

\sqrt{7+\sqrt{40} } +\sqrt{7-\sqrt{40} }  =x\\Square on both sides,\\7+\sqrt{40} +2\sqrt{7+\sqrt{40} } \sqrt{7-\sqrt{40} }+7-\sqrt{40}  =x^2\\\\Use a^2-b^2 formula\\now,\\14+2*49-40=x^2\\x^2=144\\x=12\\

Note this x is not question's x

the x is the value of \sqrt{x} +1/\sqrt{x}

So ur answer is 12

Hope this helps and i am waiting for my 30 points and pls mark me as brainliest

There might have been a mistake in calculation u can correct it.

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