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Square root of 264

The square root of 264 is 16.248077 (rounded to 6 decimal places). In simplest radical form it is 2√66.

Square root of 264

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 264 is the number that multiplied by itself gives 264.

  2. 2

    264 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.

  3. 3

    Pull out the biggest square factor: 264 = 4 Ɨ 66, so

    264=4Ɨ66=266\sqrt{264} = \sqrt{4 \times 66} = 2\sqrt{66}
  4. 4

    A calculator, or long division of digits, gives

    264ā‰ˆ16.248077\sqrt{264} \approx 16.248077
LaTeX source of the formulas on this page
\[ \sqrt{264} = 2\sqrt{66} \approx 16.248077 \]
\[ \sqrt{264} = \sqrt{4 \times 66} = 2\sqrt{66} \]
\[ \sqrt{264} \approx 16.248077 \]

Squares around 264

NumberSquared
15225
16256
17289
18324

Questions

What is the square root of 264?

The square root of 264 is 16.248077 (rounded to 6 decimal places). In simplest radical form it is 2√66.

Is 264 a perfect square?

No. It lies between 16² = 256 and 17² = 289.

What is 264 squared?

264 Ɨ 264 = 69696.

What is the square root of 264 rounded to 2 decimals?

16.25.

Nearby numbers

More about 264

    Square root of 264: 16.248077 | WordGPT