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Square root of 2972

The square root of 2972 is 54.516053 (rounded to 6 decimal places). In simplest radical form it is 2√743.

Square root of 2972

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 2972 is the number that multiplied by itself gives 2972.

  2. 2

    2972 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.

  3. 3

    Pull out the biggest square factor: 2972 = 4 Ɨ 743, so

    2972=4Ɨ743=2743\sqrt{2972} = \sqrt{4 \times 743} = 2\sqrt{743}
  4. 4

    A calculator, or long division of digits, gives

    2972ā‰ˆ54.516053\sqrt{2972} \approx 54.516053
LaTeX source of the formulas on this page
\[ \sqrt{2972} = 2\sqrt{743} \approx 54.516053 \]
\[ \sqrt{2972} = \sqrt{4 \times 743} = 2\sqrt{743} \]
\[ \sqrt{2972} \approx 54.516053 \]

Squares around 2972

NumberSquared
532809
542916
553025
563136

Questions

What is the square root of 2972?

The square root of 2972 is 54.516053 (rounded to 6 decimal places). In simplest radical form it is 2√743.

Is 2972 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 2972 squared?

2972 Ɨ 2972 = 8832784.

What is the square root of 2972 rounded to 2 decimals?

54.52.

Nearby numbers

More about 2972

    Square root of 2972: 54.516053 | WordGPT