Square Roots and Cube Roots Practice Question and Answer

Q:

√6+√6+√6+… is equal to –

430 0

  • 1
    2
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 4. "3"
Explanation :

Let √6+√6+√6+…. be x.

We know x =√6+x

We know x2 = 6+x

We know x2 - x – 6 = 0

We know (x-3) (x+2) = 0

We know x = 3

Q:

If p = 101, then the value of   $$3\sqrt{p(p^2-3p+3)}$$ is

412 0

  • 1
    100
    Correct
    Wrong
  • 2
    101
    Correct
    Wrong
  • 3
    102
    Correct
    Wrong
  • 4
    1000
    Correct
    Wrong
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Answer : 1. "100 "

Q:

The value $${7+3\sqrt {5}\over3+\sqrt { 5}}-{7-3\sqrt {5}\over3-\sqrt { 5}}$$ lies between

404 0

  • 1
    3 and 3.5
    Correct
    Wrong
  • 2
    2 and 2.5
    Correct
    Wrong
  • 3
    1.5 and 2
    Correct
    Wrong
  • 4
    2.5 and 3
    Correct
    Wrong
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Answer : 2. "2 and 2.5 "

Q:

If p = 124, $$3\sqrt{p(p^2-3p+3)-1}=?$$

392 0

  • 1
    5
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    125
    Correct
    Wrong
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Answer : 4. "125"

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