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Square root of 5460

The square root of 5460 is 73.891813 (rounded to 6 decimal places). In simplest radical form it is 2√1365.

Square root of 5460

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5460 is the number that multiplied by itself gives 5460.

  2. 2

    5460 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: 5460 = 4 Ɨ 1365, so

    5460=4Ɨ1365=21365\sqrt{5460} = \sqrt{4 \times 1365} = 2\sqrt{1365}
  4. 4

    A calculator, or long division of digits, gives

    5460ā‰ˆ73.891813\sqrt{5460} \approx 73.891813
LaTeX source of the formulas on this page
\[ \sqrt{5460} = 2\sqrt{1365} \approx 73.891813 \]
\[ \sqrt{5460} = \sqrt{4 \times 1365} = 2\sqrt{1365} \]
\[ \sqrt{5460} \approx 73.891813 \]

Squares around 5460

NumberSquared
725184
735329
745476
755625

Questions

What is the square root of 5460?

The square root of 5460 is 73.891813 (rounded to 6 decimal places). In simplest radical form it is 2√1365.

Is 5460 a perfect square?

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

What is 5460 squared?

5460 Ɨ 5460 = 29811600.

What is the square root of 5460 rounded to 2 decimals?

73.89.

Nearby numbers

More about 5460

    Square root of 5460: 73.891813 | WordGPT