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Square root of 5464

The square root of 5464 is 73.918874 (rounded to 6 decimal places). In simplest radical form it is 2√1366.

Square root of 5464

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5464 is the number that multiplied by itself gives 5464.

  2. 2

    5464 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: 5464 = 4 Ɨ 1366, so

    5464=4Ɨ1366=21366\sqrt{5464} = \sqrt{4 \times 1366} = 2\sqrt{1366}
  4. 4

    A calculator, or long division of digits, gives

    5464ā‰ˆ73.918874\sqrt{5464} \approx 73.918874
LaTeX source of the formulas on this page
\[ \sqrt{5464} = 2\sqrt{1366} \approx 73.918874 \]
\[ \sqrt{5464} = \sqrt{4 \times 1366} = 2\sqrt{1366} \]
\[ \sqrt{5464} \approx 73.918874 \]

Squares around 5464

NumberSquared
725184
735329
745476
755625

Questions

What is the square root of 5464?

The square root of 5464 is 73.918874 (rounded to 6 decimal places). In simplest radical form it is 2√1366.

Is 5464 a perfect square?

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

What is 5464 squared?

5464 Ɨ 5464 = 29855296.

What is the square root of 5464 rounded to 2 decimals?

73.92.

Nearby numbers

More about 5464

    Square root of 5464: 73.918874 | WordGPT