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Square root of 3748

The square root of 3748 is 61.220911 (rounded to 6 decimal places). In simplest radical form it is 2√937.

Square root of 3748

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3748 is the number that multiplied by itself gives 3748.

  2. 2

    3748 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.

  3. 3

    Pull out the biggest square factor: 3748 = 4 Ɨ 937, so

    3748=4Ɨ937=2937\sqrt{3748} = \sqrt{4 \times 937} = 2\sqrt{937}
  4. 4

    A calculator, or long division of digits, gives

    3748ā‰ˆ61.220911\sqrt{3748} \approx 61.220911
LaTeX source of the formulas on this page
\[ \sqrt{3748} = 2\sqrt{937} \approx 61.220911 \]
\[ \sqrt{3748} = \sqrt{4 \times 937} = 2\sqrt{937} \]
\[ \sqrt{3748} \approx 61.220911 \]

Squares around 3748

NumberSquared
603600
613721
623844
633969

Questions

What is the square root of 3748?

The square root of 3748 is 61.220911 (rounded to 6 decimal places). In simplest radical form it is 2√937.

Is 3748 a perfect square?

No. It lies between 61² = 3721 and 62² = 3844.

What is 3748 squared?

3748 Ɨ 3748 = 14047504.

What is the square root of 3748 rounded to 2 decimals?

61.22.

Nearby numbers

More about 3748

    Square root of 3748: 61.220911 | WordGPT