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Square root of 1421

The square root of 1421 is 37.696154 (rounded to 6 decimal places). In simplest radical form it is 7√29.

Square root of 1421

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1421 is the number that multiplied by itself gives 1421.

  2. 2

    1421 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: 1421 = 49 Ɨ 29, so

    1421=49Ɨ29=729\sqrt{1421} = \sqrt{49 \times 29} = 7\sqrt{29}
  4. 4

    A calculator, or long division of digits, gives

    1421ā‰ˆ37.696154\sqrt{1421} \approx 37.696154
LaTeX source of the formulas on this page
\[ \sqrt{1421} = 7\sqrt{29} \approx 37.696154 \]
\[ \sqrt{1421} = \sqrt{49 \times 29} = 7\sqrt{29} \]
\[ \sqrt{1421} \approx 37.696154 \]

Squares around 1421

NumberSquared
361296
371369
381444
391521

Questions

What is the square root of 1421?

The square root of 1421 is 37.696154 (rounded to 6 decimal places). In simplest radical form it is 7√29.

Is 1421 a perfect square?

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

What is 1421 squared?

1421 Ɨ 1421 = 2019241.

What is the square root of 1421 rounded to 2 decimals?

37.70.

Nearby numbers

More about 1421

    Square root of 1421: 37.696154 | WordGPT