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The value of sqrt(10+sqrt(25+sqrt(108...

The value of `sqrt(10+sqrt(25+sqrt(108+sqrt(154+sqrt(225)))))` is (a) 4 (b) 6 (c) 8 (d) 10

A

4

B

6

C

8

D

10

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The value of sqrt( 16 sqrt(8 sqrt(4))) is

    A
    16
    B
    8
    C
    ` 8 3 sqrt( 2)`
    D
    ` 16 sqrt(2)`
  • The value of sqrt(16sqrt(8sqrt(4))) is

    A
    16
    B
    8
    C
    `8 root(3)(2)`
    D
    `16 sqrt(2)`
  • The value of sqrt(16sqrt(8sqrt(4))) is

    A
    16
    B
    8
    C
    `8root3(2)`
    D
    `16sqrt(2)`
  • S CHAND IIT JEE FOUNDATION-POWERS AND ROOTS -SECTION-B SQUARE ROOTS AND CUBE ROOTS (QUESTION BANK 5(B))
    1. The value of sqrt(10+sqrt(25+sqrt(108+sqrt(154+sqrt(225))))) is (a)...

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    2. If sqrt(x)+sqrt(441)=0. 02 , then the value of x is (a) 0.1764 (...

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    3. sqrt[(0.49)/(0.25)]+sqrt[(0.81)/(0.36)] is equal to:

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    4. Simplify : sqrt(0.0025)xxsqrt(2.25)xxsqrt(0.0001)

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    5. Given that sqrt(1225)=35, find the value of sqrt(12.25)+sqrt(0.1225)+s...

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    6. The square root of 0.bar4 is :

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    7. If sqrt(1+(25)/(144))=(x)/(12), then x equals

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    8. Of the numbers 0.16, sqrt(0.16), (0.16)^(2) and 0.1bar6, the least num...

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    9. 1008 divided by which single digit number gives a perfect square?

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    10. Find the smallest natural number by which 980 should be multiplied to ...

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

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    13. Simplify sqrtroot3(0.000729)

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    14. Simplify (root3(8))/(sqrt(16))divsqrt(100)/(sqrt(49))xxroot3(125)

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    15. If sqrt(24)=4. 899 , the value of sqrt(8/3) is (a) 0.544 (b) 1.3...

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    16. If sqrt(6)=2.55, then the value of sqrt((2)/(3))+3sqrt((3)/(2)) is

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    17. What should come in place of both the question marks in the equatio...

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    18. What number should be divided by sqrt(0. 25) to give the result ...

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    19. root3(333+root3(987+root3(2197))) is equal to

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    20. if sqrt(x/y)+sqrt(y/x)=10/3 and x+y=10 , then the value of xy will be ...

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