Math, asked by shreyaSingh2022, 3 months ago

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यदि \: x = 7 - 4 \sqrt{2}  \: हो, तो \:  (x +  \frac{1}{x} ) \: का \:  मान \:  कया \:  होगा \: ?
Please \: help \: dont \: give \: wrong \: answer.

Answers

Answered by singhranjot118
1

Answer:

put the value of x that is given 7-4√2

Step-by-step explanation:

x+1/x

7-4√2+1/7-4√2

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Answered by Salmonpanna2022
65

Answer:

14.

Step-by-step explanation:

Given that:

x = 7 - 4 \sqrt{3}

To find:

the \: value \: of \: (x +  \frac{1}{x}) \\

Solution:

x +  \frac{1}{x}  = (7 - 4 \sqrt{3} ) +  \frac{1}{7 - 4 \sqrt{3} }  \\

= $\frac{{\mathrm{(}}\mathrm{{-}}{4}\sqrt{3}{\mathrm{)}}^{2}\mathrm{{+}}{1}}{{7}\mathrm{{-}}{4}\sqrt{3}}$

= $\frac{{\mathrm{49}}\mathrm{{-}}{\mathrm{56}}\sqrt{3}\mathrm{{+}}{\mathrm{48}}\mathrm{{+}}{1}}{{7}\mathrm{{-}}{4}\sqrt{3}}$

= $\frac{{\mathrm{98}}\mathrm{{-}}{\mathrm{56}}\sqrt{3}}{{7}\mathrm{{-}}{4}\sqrt{3}}$

= 14 Ans.

 {}^{i \: hope \: its \: help \: you.}

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