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Square root of 1364

The square root of 1364 is 36.932371 (rounded to 6 decimal places). In simplest radical form it is 2√341.

Square root of 1364

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1364 is the number that multiplied by itself gives 1364.

  2. 2

    1364 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.

  3. 3

    Pull out the biggest square factor: 1364 = 4 Ɨ 341, so

    1364=4Ɨ341=2341\sqrt{1364} = \sqrt{4 \times 341} = 2\sqrt{341}
  4. 4

    A calculator, or long division of digits, gives

    1364ā‰ˆ36.932371\sqrt{1364} \approx 36.932371
LaTeX source of the formulas on this page
\[ \sqrt{1364} = 2\sqrt{341} \approx 36.932371 \]
\[ \sqrt{1364} = \sqrt{4 \times 341} = 2\sqrt{341} \]
\[ \sqrt{1364} \approx 36.932371 \]

Squares around 1364

NumberSquared
351225
361296
371369
381444

Questions

What is the square root of 1364?

The square root of 1364 is 36.932371 (rounded to 6 decimal places). In simplest radical form it is 2√341.

Is 1364 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1364 squared?

1364 Ɨ 1364 = 1860496.

What is the square root of 1364 rounded to 2 decimals?

36.93.

Nearby numbers

More about 1364

    Square root of 1364: 36.932371 | WordGPT