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Square root of 1396

The square root of 1396 is 37.363083 (rounded to 6 decimal places). In simplest radical form it is 2√349.

Square root of 1396

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1396 is the number that multiplied by itself gives 1396.

  2. 2

    1396 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.

  3. 3

    Pull out the biggest square factor: 1396 = 4 Ɨ 349, so

    1396=4Ɨ349=2349\sqrt{1396} = \sqrt{4 \times 349} = 2\sqrt{349}
  4. 4

    A calculator, or long division of digits, gives

    1396ā‰ˆ37.363083\sqrt{1396} \approx 37.363083
LaTeX source of the formulas on this page
\[ \sqrt{1396} = 2\sqrt{349} \approx 37.363083 \]
\[ \sqrt{1396} = \sqrt{4 \times 349} = 2\sqrt{349} \]
\[ \sqrt{1396} \approx 37.363083 \]

Squares around 1396

NumberSquared
361296
371369
381444
391521

Questions

What is the square root of 1396?

The square root of 1396 is 37.363083 (rounded to 6 decimal places). In simplest radical form it is 2√349.

Is 1396 a perfect square?

No. It lies between 37² = 1369 and 38² = 1444.

What is 1396 squared?

1396 Ɨ 1396 = 1948816.

What is the square root of 1396 rounded to 2 decimals?

37.36.

Nearby numbers

More about 1396

    Square root of 1396: 37.363083 | WordGPT