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Square root of 1492

The square root of 1492 is 38.626416 (rounded to 6 decimal places). In simplest radical form it is 2√373.

Square root of 1492

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1492 is the number that multiplied by itself gives 1492.

  2. 2

    1492 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.

  3. 3

    Pull out the biggest square factor: 1492 = 4 Ɨ 373, so

    1492=4Ɨ373=2373\sqrt{1492} = \sqrt{4 \times 373} = 2\sqrt{373}
  4. 4

    A calculator, or long division of digits, gives

    1492ā‰ˆ38.626416\sqrt{1492} \approx 38.626416
LaTeX source of the formulas on this page
\[ \sqrt{1492} = 2\sqrt{373} \approx 38.626416 \]
\[ \sqrt{1492} = \sqrt{4 \times 373} = 2\sqrt{373} \]
\[ \sqrt{1492} \approx 38.626416 \]

Squares around 1492

NumberSquared
371369
381444
391521
401600

Questions

What is the square root of 1492?

The square root of 1492 is 38.626416 (rounded to 6 decimal places). In simplest radical form it is 2√373.

Is 1492 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1492 squared?

1492 Ɨ 1492 = 2226064.

What is the square root of 1492 rounded to 2 decimals?

38.63.

Nearby numbers

More about 1492

    Square root of 1492: 38.626416 | WordGPT