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If x = (1)/( 7 - 4 sqrt3) and y = (1)/( ...

If `x = (1)/( 7 - 4 sqrt3) and y = (1)/( 7 + 4 sqrt3)` then the value of `x ^(2) + y ^(2)` is

A

193

B

194

C

195

D

196

Text Solution

Verified by Experts

The correct Answer is:
B
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CENGAGE-NUMBER SYSTEM -TEST YOURSELF (LEVEL 3)
  1. If a =2 + sqrt5 and b = 2 - sqrt5 then the value of (1)/(a) + (1)/(b)...

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  2. If a = ( sqrt5 + 2)/( sqrt5 -2) and b = (sqrt5 - 2)/( sqrt5 + 2) then ...

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  3. If x = (1)/( 7 - 4 sqrt3) and y = (1)/( 7 + 4 sqrt3) then the value of...

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  4. The ratioal form of a.bar(72) is

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  5. Which of the following is a multiplicative inverse of 3 ?

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  6. If the number 2x 348 is divisible by 3 then the value of x CANNOT be

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  7. If the number 34x576 is divisible by 4 then the value of x CANNOT be

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  8. The multiplicative inverse of 0 is

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  9. If x = sqrt2 + 1 then value of x ^(3) - (1)/(x ^(3)) is

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  10. Square root of (5)/(2) - sqrt 6 is

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  11. For x gt 0, then value of x sqrt (x sqrt (x sqrt x...)) is

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  12. If x + sqrt3 = sqrt ( 7 + 4 sqrt3) then the value of x is

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  13. If a = sqrt13 + sqrt12 and b = sqrt14 + sqrt11 then which of the follo...

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  14. sqrt (10 + sqrt 91) + sqrt (10 - sqrt 91) is equal to

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  15. The value of 3 + (1)/( 3 + (1)/( 2- (1)/(4))) is

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  16. The value of 2- (1)/( 20 (1)/( 2- (1)/(2-....))) is

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  17. The value of (sqrt14)/(sqrt (6 + sqrt35 )+ sqrt (6 - sqrt35)) is

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  18. The value of sqrt (13 + 4 sqrt10) - sqrt (13 - 4 sqrt10) is

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  19. Then the value of sqrt (2 + sqrt (2 + sqrt (2 + ...))) is

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  20. Square root of (x -2) - sqrt (x ^(2)- 4x + 3) is

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