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If x = 2 + sqrt(2) and y = 2 - sqrt(2),...

If `x = 2 + sqrt(2)` and `y = 2 - sqrt(2)`, then the value of `(x^(2) - y^(2))` is

A

12

B

14

C

`8 sqrt(2)`

D

18

Text Solution

Verified by Experts

The correct Answer is:
C
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BHARDWAJ ACADEMY-SQUARE-SQUARE ROOT AND CUBE-CUBE ROOT -CHAPTER EXERCISE
  1. If sqrt(4096)=64 , then value of sqrt(40. 96)+sqrt(0. 4096)+sqrt(0.004...

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  2. Find the square root of 105(4)/(64).

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  3. If x = 2 + sqrt(2) and y = 2 - sqrt(2), then the value of (x^(2) - y^...

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  4. If a^(3) =1+7, 3^(3) = 1+7+b, 4^(3) = 1+7 +c, then the value of a+ b+ ...

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  5. Given that sqrt(3) = 1.732, the value of (3 + sqrt(6 ))/( 5 sqrt(3) -...

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  6. If a,b are rationals and asqrt(2)+bsqrt(3) =sqrt(98)+sqrt(108)-sqrt(...

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  7. If a=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) and b=(sqrt(3)+sqrt(2))/(sqrt...

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  8. If the expression x + 809436 xx 809438 be a perfect square, then the v...

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  9. Find the value of root(3)(2744)+7.

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  10. root (3)(1331) xx root (3) (216) + root (3) (64) is equal to

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  11. If (2000)^(10)=1.024xx10^(k), then the value of k is

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  12. If (125)^(2//3) xx (625)^(-1//4) = 5^(x), then the value of x is

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  13. The value of question mark (?) in root (3) (512) + sqrt(16) + sqrt(576...

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  14. What least number should be subtracted from 6860, so that 19 be the cu...

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  15. Find the value of root3(sqrt(441)+sqrt(16)+sqrt(4))

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  16. The value of ? In root (3)(0.064)= root (3) (0.027) + root (3) (?) ...

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  17. The value of 0.09 xx root (3) (0.000064) is

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  18. If (16)^(2) div (16)^(4) xx (16)^(3) = 16^(x), then x is equal to

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  19. sqrt(5 root(3)(x))=3, then the value of x is

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  20. If sqrt(10+root(3)(x))=4, then what is the value of x ?

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