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Square root of 5396

The square root of 5396 is 73.457471 (rounded to 6 decimal places). In simplest radical form it is 2√1349.

Square root of 5396

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5396 is the number that multiplied by itself gives 5396.

  2. 2

    5396 is between the perfect squares 73² = 5329 and 74² = 5476, so its square root is between 73 and 74.

  3. 3

    Pull out the biggest square factor: 5396 = 4 Ɨ 1349, so

    5396=4Ɨ1349=21349\sqrt{5396} = \sqrt{4 \times 1349} = 2\sqrt{1349}
  4. 4

    A calculator, or long division of digits, gives

    5396ā‰ˆ73.457471\sqrt{5396} \approx 73.457471
LaTeX source of the formulas on this page
\[ \sqrt{5396} = 2\sqrt{1349} \approx 73.457471 \]
\[ \sqrt{5396} = \sqrt{4 \times 1349} = 2\sqrt{1349} \]
\[ \sqrt{5396} \approx 73.457471 \]

Squares around 5396

NumberSquared
725184
735329
745476
755625

Questions

What is the square root of 5396?

The square root of 5396 is 73.457471 (rounded to 6 decimal places). In simplest radical form it is 2√1349.

Is 5396 a perfect square?

No. It lies between 73² = 5329 and 74² = 5476.

What is 5396 squared?

5396 Ɨ 5396 = 29116816.

What is the square root of 5396 rounded to 2 decimals?

73.46.

Nearby numbers

More about 5396

    Square root of 5396: 73.457471 | WordGPT