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Find the value sqrt(225)sqrt(16)+sqrt(100) (1)/(3)-sqrt(81) sqrt(400) x 2 + sqrt(4975)

Mathematics

ScanSolve AI Answer

Answer

1
193.48
2482

Step-by-step solution

8 steps

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}.

    :

    213−381213 - \sqrt{381}
  4. Calculate the square root of 381.

    381≈19.52\sqrt{381} \approx 19.52
  5. Perform the subtraction.

    213−19.52=193.48213 - 19.52 = 193.48

    The value is 193.48\boxed{193.48}.

    :

    3(400×2)+(49+75)3(400 \times 2) + (\sqrt{49} + 75)
  6. Perform the operations inside the parentheses.

    3(800)+(7+75)3(800) + (7 + 75)
  7. Perform the multiplication and the addition inside the second parenthesis.

    2400+822400 + 82
  8. Perform the addition.

    24822482

    The value is 2482\boxed{2482}.

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