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Square root of 1484

The square root of 1484 is 38.522721 (rounded to 6 decimal places). In simplest radical form it is 2√371.

Square root of 1484

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1484 is the number that multiplied by itself gives 1484.

  2. 2

    1484 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: 1484 = 4 Ɨ 371, so

    1484=4Ɨ371=2371\sqrt{1484} = \sqrt{4 \times 371} = 2\sqrt{371}
  4. 4

    A calculator, or long division of digits, gives

    1484ā‰ˆ38.522721\sqrt{1484} \approx 38.522721
LaTeX source of the formulas on this page
\[ \sqrt{1484} = 2\sqrt{371} \approx 38.522721 \]
\[ \sqrt{1484} = \sqrt{4 \times 371} = 2\sqrt{371} \]
\[ \sqrt{1484} \approx 38.522721 \]

Squares around 1484

NumberSquared
371369
381444
391521
401600

Questions

What is the square root of 1484?

The square root of 1484 is 38.522721 (rounded to 6 decimal places). In simplest radical form it is 2√371.

Is 1484 a perfect square?

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

What is 1484 squared?

1484 Ɨ 1484 = 2202256.

What is the square root of 1484 rounded to 2 decimals?

38.52.

Nearby numbers

More about 1484

    Square root of 1484: 38.522721 | WordGPT