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Square root of 532

The square root of 532 is 23.065125 (rounded to 6 decimal places). In simplest radical form it is 2√133.

Square root of 532

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 532 is the number that multiplied by itself gives 532.

  2. 2

    532 is between the perfect squares 23² = 529 and 24² = 576, so its square root is between 23 and 24.

  3. 3

    Pull out the biggest square factor: 532 = 4 Ɨ 133, so

    532=4Ɨ133=2133\sqrt{532} = \sqrt{4 \times 133} = 2\sqrt{133}
  4. 4

    A calculator, or long division of digits, gives

    532ā‰ˆ23.065125\sqrt{532} \approx 23.065125
LaTeX source of the formulas on this page
\[ \sqrt{532} = 2\sqrt{133} \approx 23.065125 \]
\[ \sqrt{532} = \sqrt{4 \times 133} = 2\sqrt{133} \]
\[ \sqrt{532} \approx 23.065125 \]

Squares around 532

NumberSquared
22484
23529
24576
25625

Questions

What is the square root of 532?

The square root of 532 is 23.065125 (rounded to 6 decimal places). In simplest radical form it is 2√133.

Is 532 a perfect square?

No. It lies between 23² = 529 and 24² = 576.

What is 532 squared?

532 Ɨ 532 = 283024.

What is the square root of 532 rounded to 2 decimals?

23.07.

Nearby numbers

More about 532

    Square root of 532: 23.065125 | WordGPT