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sqrt(225)sqrt(16) + 12 - sqrt(100) 13 - sqrt(81) (sqrt(400) x 2) + (sqrt(49) + 5) (22 - 44)/(sqrt(100)) (82 - 14)/(sqrt(25))

Mathematics

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Here are the solutions to your homework problems:

:

225−10016+12\frac{\sqrt{225} - \sqrt{100}}{\sqrt{16} + 1^2}
  1. Calculate the square roots and the exponent.

    15−104+1\frac{15 - 10}{4 + 1}
  2. Perform the subtraction in the numerator and the addition in the denominator.

    55\frac{5}{5}
  3. Perform the division.

    11

    The value is 1\boxed{1}.

    :

    13−8113 - \sqrt{81}
  4. Calculate the square root.

    13−913 - 9
  5. Perform the subtraction.

    44

    The value is 4\boxed{4}.

    :

    (400×2)+(49+5)(\sqrt{400} \times 2) + (\sqrt{49} + 5)
  6. Calculate the square roots inside the parentheses.

    (20×2)+(7+5)(20 \times 2) + (7 + 5)
  7. Perform the multiplication and addition inside the parentheses.

    40+1240 + 12
  8. Perform the addition.

    5252

    The value is 52\boxed{52}.

    :

    22−44100\frac{2^2 - 44}{\sqrt{100}}
  9. Calculate the exponent and the square root.

    4−4410\frac{4 - 44}{10}
  10. Perform the subtraction in the numerator.

    −4010\frac{-40}{10}
  11. Perform the division.

    −4-4

    The value is −4\boxed{-4}.

    :

    82−1425\frac{8^2 - 14}{\sqrt{25}}
  12. Calculate the exponent and the square root.

    64−145\frac{64 - 14}{5}
  13. Perform the subtraction in the numerator.

    505\frac{50}{5}
  14. Perform the division.

    1010

    The value is 10\boxed{10}.

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