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Evaluate the following expressions involving square roots: 1, 4, 7, 10, 13, 16, 19.

Mathematics

ScanSolve AI Answer

Step-by-step solution

14 steps

Here are the values for each expression:

1.

  1. Evaluate the square roots.

    1=1\sqrt{1} = 1 100=10\sqrt{100} = 10
  2. Add the results.

    1+10=111 + 10 = 11

    The value is 11\boxed{\text{11}}.

    4.

  3. Evaluate the square roots.

    25=5\sqrt{25} = 5 64=8\sqrt{64} = 8
  4. Add the results.

    5+8=135 + 8 = 13

    The value is 13\boxed{\text{13}}.

    7.

  5. Evaluate the square roots.

    225=15\sqrt{225} = 15 169=13\sqrt{169} = 13
  6. Subtract the results.

    15−13=215 - 13 = 2

    The value is 2\boxed{\text{2}}.

    10.

  7. Evaluate the square roots.

    400=20\sqrt{400} = 20 324=18\sqrt{324} = 18
  8. Subtract the results.

    20−18=220 - 18 = 2

    The value is 2\boxed{\text{2}}.

    13.

  9. Evaluate the square roots.

    9=3\sqrt{9} = 3 25=5\sqrt{25} = 5
  10. Multiply the results.

    3×5=153 \times 5 = 15

    The value is 15\boxed{\text{15}}.

    16.

  11. Evaluate the square roots.

    100=10\sqrt{100} = 10 25=5\sqrt{25} = 5
  12. Divide the results.

    10÷5=210 \div 5 = 2

    The value is 2\boxed{\text{2}}.

    19.

  13. Evaluate the square roots.

    324=18\sqrt{324} = 18 81=9\sqrt{81} = 9
  14. Divide the results.

    18÷9=218 \div 9 = 2

    The value is 2\boxed{\text{2}}.

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