Surds and Indices Questions Practice Question and Answer

Q:

If  $$ {x^{\sqrt{x}}}={({x{\sqrt{x}}})^{x}}$$, then the find the value of x

873 0

  • 1
    $$ {3\over4}$$
    Correct
    Wrong
  • 2
    $$ {3\over5}$$
    Correct
    Wrong
  • 3
    $$ {9\over4}$$
    Correct
    Wrong
  • 4
    $$ {7\over4}$$
    Correct
    Wrong
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Answer : 3. "$$ {9\over4}$$"

Q:

If $$  3 ^{2x-y}=3^{x+y}=\sqrt{27}$$ then the value of y is

875 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {3\over2}$$
    Correct
    Wrong
  • 3
    $$ {1\over8}$$
    Correct
    Wrong
  • 4
    $$ {3\over4}$$
    Correct
    Wrong
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Answer : 1. "$$ {1\over2}$$"

Q:

The value of $$ {4^{10+n}}.{16^{3n-4}}\over4^{7n}$$ is:

1132 0

  • 1
    8
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 3. "16"

Q:

Find the cube root of $$ ^{3}\sqrt{-13824}$$.

733 0

  • 1
    24
    Correct
    Wrong
  • 2
    38
    Correct
    Wrong
  • 3
    -24
    Correct
    Wrong
  • 4
    -38
    Correct
    Wrong
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Answer : 3. "-24"

Q:

If $$ (3^{33}+3^{33}+3^{33})(2^{33}+2^{33})=6^x$$, the what is the value of x?

3190 0

  • 1
    34
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    33
    Correct
    Wrong
  • 4
    33.5
    Correct
    Wrong
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Answer : 1. "34"

Q:

If 5a=3125, then the value of 5(a-3) is:

1221 0

  • 1
    25
    Correct
    Wrong
  • 2
    125
    Correct
    Wrong
  • 3
    625
    Correct
    Wrong
  • 4
    1625
    Correct
    Wrong
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Answer : 1. "25"

Q:

$$ \sqrt{217+\sqrt{48+\sqrt{256}}}=?$$

1201 0

  • 1
    14
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    14.4
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 2. "15"

Q:

Find out the value of $$ {\sqrt{(121)}} +{\sqrt{(12321)}}+{\sqrt{(1234321)}}$$.

1083 0

  • 1
    1233
    Correct
    Wrong
  • 2
    1234
    Correct
    Wrong
  • 3
    1244
    Correct
    Wrong
  • 4
    983
    Correct
    Wrong
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Answer : 1. "1233"

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