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Square root of 3362

The square root of 3362 is 57.982756 (rounded to 6 decimal places). In simplest radical form it is 41√2.

Square root of 3362

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3362 is the number that multiplied by itself gives 3362.

  2. 2

    3362 is between the perfect squares 57² = 3249 and 58² = 3364, so its square root is between 57 and 58.

  3. 3

    Pull out the biggest square factor: 3362 = 1681 Ɨ 2, so

    3362=1681Ɨ2=412\sqrt{3362} = \sqrt{1681 \times 2} = 41\sqrt{2}
  4. 4

    A calculator, or long division of digits, gives

    3362ā‰ˆ57.982756\sqrt{3362} \approx 57.982756
LaTeX source of the formulas on this page
\[ \sqrt{3362} = 41\sqrt{2} \approx 57.982756 \]
\[ \sqrt{3362} = \sqrt{1681 \times 2} = 41\sqrt{2} \]
\[ \sqrt{3362} \approx 57.982756 \]

Squares around 3362

NumberSquared
563136
573249
583364
593481

Questions

What is the square root of 3362?

The square root of 3362 is 57.982756 (rounded to 6 decimal places). In simplest radical form it is 41√2.

Is 3362 a perfect square?

No. It lies between 57² = 3249 and 58² = 3364.

What is 3362 squared?

3362 Ɨ 3362 = 11303044.

What is the square root of 3362 rounded to 2 decimals?

57.98.

Nearby numbers

More about 3362

    Square root of 3362: 57.982756 | WordGPT