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Square root of 1340

The square root of 1340 is 36.60601 (rounded to 6 decimal places). In simplest radical form it is 2√335.

Square root of 1340

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 1340 is the number that multiplied by itself gives 1340.

  2. 2

    1340 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: 1340 = 4 Ɨ 335, so

    1340=4Ɨ335=2335\sqrt{1340} = \sqrt{4 \times 335} = 2\sqrt{335}
  4. 4

    A calculator, or long division of digits, gives

    1340ā‰ˆ36.60601\sqrt{1340} \approx 36.60601
LaTeX source of the formulas on this page
\[ \sqrt{1340} = 2\sqrt{335} \approx 36.60601 \]
\[ \sqrt{1340} = \sqrt{4 \times 335} = 2\sqrt{335} \]
\[ \sqrt{1340} \approx 36.60601 \]

Squares around 1340

NumberSquared
351225
361296
371369
381444

Questions

What is the square root of 1340?

The square root of 1340 is 36.60601 (rounded to 6 decimal places). In simplest radical form it is 2√335.

Is 1340 a perfect square?

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

What is 1340 squared?

1340 Ɨ 1340 = 1795600.

What is the square root of 1340 rounded to 2 decimals?

36.61.

Nearby numbers

More about 1340

    Square root of 1340: 36.60601 | WordGPT