Surds and Indices Practice Question and Answer

Q:

рдпрджрд┐ рд╣реИ $$ (3^{33}+3^{33}+3^{33})(2^{33}+2^{33})=6^x$$, рддреЛ x рдХрд╛ рдорд╛рди рд╣реЛрдЧрд╛ ?

3639 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:

рдпрджрд┐┬а$$ {3^{4x-y}={3^{x+y}=\sqrt{27}}}$$, ┬а┬ард╣реИ рддреЛ┬аy┬ардХрд╛ рдорд╛рди рд╣реЛрдЧрд╛тАФ

2290 0

  • 1
    $$ {9\over 10}$$
    Correct
    Wrong
  • 2
    $$ {3\over 2}$$
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    $$ {3\over 4}$$
    Correct
    Wrong
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Answer : 1. "$$ {9\over 10}$$"

Q:

рдпрджрд┐┬а5a=3125,┬а┬ард╣реИ рддреЛ┬а5(a-3)┬ардХрд╛ рдорд╛рди рд╣реЛрдЧрд╛ред

1833 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:

рдпрджрд┐┬а$$ {x^{a^{3}}}.x^{b^{3}}.x^{3ab(a+b)}=(2^{5})^{25},a+b=5 $$┬ард╣реИ┬аx┬ардХреЗ рд▓рд┐рдП рдорд╛рди рд╣реЛрдЧрд╛тАФ

1776 0

  • 1
    2
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 1. "2"

Q:

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

1770 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:

рдЗрдирдореЗ рд╕реЗ рд╕рдмрд╕реЗ рдмреЬрд╛ рдХреМрди рд╣реИ

$$^{3}\sqrt{9},\sqrt{3},\ ^{4}\sqrt{16},\ ^{6}\sqrt{180}$$

1762 0

  • 1
    $$^{3}\sqrt{9}$$
    Correct
    Wrong
  • 2
    $$\sqrt{3}$$
    Correct
    Wrong
  • 3
    $$^{4}\sqrt{16}$$
    Correct
    Wrong
  • 4
    $$^{6}\sqrt{180}$$
    Correct
    Wrong
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Answer : 1. "$$^{3}\sqrt{9}$$"
Explanation :

undefined

Q:

$$ \sqrt{20+\sqrt{29-\sqrt{12+\sqrt{19-\sqrt{9}}}}}$$ ┬ардХрд╛ рдорд╛рди рд╣реЛрдЧрд╛

1756 0

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

Q:

$$ {4^{10+n}}.{16^{3n-4}}\over4^{7n}$$┬ардХрд╛ рдорд╛рди рд╣реЛрдЧрд╛тАФ

1743 0

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

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