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Square root of 5243

The square root of 5243 is 72.408563 (rounded to 6 decimal places). In simplest radical form it is 7√107.

Square root of 5243

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5243 is the number that multiplied by itself gives 5243.

  2. 2

    5243 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.

  3. 3

    Pull out the biggest square factor: 5243 = 49 Ɨ 107, so

    5243=49Ɨ107=7107\sqrt{5243} = \sqrt{49 \times 107} = 7\sqrt{107}
  4. 4

    A calculator, or long division of digits, gives

    5243ā‰ˆ72.408563\sqrt{5243} \approx 72.408563
LaTeX source of the formulas on this page
\[ \sqrt{5243} = 7\sqrt{107} \approx 72.408563 \]
\[ \sqrt{5243} = \sqrt{49 \times 107} = 7\sqrt{107} \]
\[ \sqrt{5243} \approx 72.408563 \]

Squares around 5243

NumberSquared
715041
725184
735329
745476

Questions

What is the square root of 5243?

The square root of 5243 is 72.408563 (rounded to 6 decimal places). In simplest radical form it is 7√107.

Is 5243 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5243 squared?

5243 Ɨ 5243 = 27489049.

What is the square root of 5243 rounded to 2 decimals?

72.41.

Nearby numbers

More about 5243

    Square root of 5243: 72.408563 | WordGPT