9-2 -22-9-2 -22-9-2 -22-9-2 -22-

The correct option is C 338(9+2√(22)/9 2√(22)+9 2√(22)/9+2√(22)) (9+2√(22))×(9+2√(22))+(9 2√(22))×(9 2√(22))/(9 2√(22))×(9+2√(22)) ((9+2√(22))^2+(9 2√(22))^2 ...

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Byju's Answer

Standard IX

Mathematics

Geometric Estimation Value of Square Root

9+2 √22/9-2 √...

Question

$(\frac{9 + 2 \sqrt{22}}{9 - 2 \sqrt{22}} + \frac{9 - 2 \sqrt{22}}{9 + 2 \sqrt{22}}) = ?$

168

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169

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320

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338

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Solution

The correct option is D 338
$(\frac{9 + 2 \sqrt{22}}{9 - 2 \sqrt{22}} + \frac{9 - 2 \sqrt{22}}{9 + 2 \sqrt{22}})$

$\frac{(9 + 2 \sqrt{22}) \times (9 + 2 \sqrt{22}) + (9 - 2 \sqrt{22}) \times (9 - 2 \sqrt{22})}{(9 - 2 \sqrt{22)} \times (9 + 2 \sqrt{22})}$

$(\frac{(9 + 2 \sqrt{22})^{2} + (9 - 2 \sqrt{22})^{2}}{81 - 88})$

= 81 + 88 + 81 + 88

= 338

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Similar questions

Q. 9x² + 8 = 22x.

Q. Solve:

\frac{9}{2} m + m = 22

9 x^{2} - 22 x + 8 = 0

\int_{0}^{3} \frac{3 x + 1}{x^{2} + 9} d x =

(a)

\frac{π}{12} + \log (2 \sqrt{2})

(b)

\frac{π}{2} + \log (2 \sqrt{2})

(c)

\frac{π}{6} + \log (2 \sqrt{2})

(d)

\frac{π}{3} + \log (2 \sqrt{2})

Q. Consider the equation

2 x + 9 = 13

.
What would the equation be after transposing 9 to the RHS?

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(9+2√229−2√22+9−2√229+2√22)=?

The correct option is D 338(9+2√229−2√22+9−2√229+2√22) (9+2√22)×(9+2√22)+(9−2√22)×(9−2√22)(9−2√22)×(9+2√22) ((9+2√22)2+(9−2√22)281−88) = 81 + 88 + 81 + 88 = 338

$(\frac{9 + 2 \sqrt{22}}{9 - 2 \sqrt{22}} + \frac{9 - 2 \sqrt{22}}{9 + 2 \sqrt{22}}) = ?$