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Calculate the value of sqrt(3.24)0.3654 and round the result to 3 significant figures.

Mathematics

ScanSolve AI Answer

Answer

4.93

Step-by-step solution

4 steps

here's the solution:

  1. Find the reciprocal of 0.3654 using reciprocal tables.

    To find the reciprocal of 0.3654, we first find the reciprocal of 3.654 and then adjust the decimal point.
    From reciprocal tables, the reciprocal of 3.654 is approximately 0.27386.
    Therefore, the reciprocal of 0.3654 is 0.27386×10=2.73860.27386 \times 10 = 2.7386.

    10.3654≈2.7386\frac{1}{0.3654} \approx 2.7386
  2. Calculate the value of 3.24\sqrt{3.24}.

    3.24=1.8\sqrt{3.24} = 1.8
  3. Calculate the expression 3.240.3654\frac{\sqrt{3.24}}{0.3654}.

    We can rewrite the expression as 3.24×10.3654\sqrt{3.24} \times \frac{1}{0.3654}.
    Substitute the values obtained in Step 1 and Step 2:

    3.240.3654=1.8×2.7386\frac{\sqrt{3.24}}{0.3654} = 1.8 \times 2.7386 1.8×2.7386=4.929481.8 \times 2.7386 = 4.92948
  4. Round the result to 3 significant figures.

    4.92948≈4.934.92948 \approx 4.93

    The final answer is 4.93.

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