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Square root of 5364

The square root of 5364 is 73.239334 (rounded to 6 decimal places). In simplest radical form it is 6√149.

Square root of 5364

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5364 is the number that multiplied by itself gives 5364.

  2. 2

    5364 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: 5364 = 36 Ɨ 149, so

    5364=36Ɨ149=6149\sqrt{5364} = \sqrt{36 \times 149} = 6\sqrt{149}
  4. 4

    A calculator, or long division of digits, gives

    5364ā‰ˆ73.239334\sqrt{5364} \approx 73.239334
LaTeX source of the formulas on this page
\[ \sqrt{5364} = 6\sqrt{149} \approx 73.239334 \]
\[ \sqrt{5364} = \sqrt{36 \times 149} = 6\sqrt{149} \]
\[ \sqrt{5364} \approx 73.239334 \]

Squares around 5364

NumberSquared
725184
735329
745476
755625

Questions

What is the square root of 5364?

The square root of 5364 is 73.239334 (rounded to 6 decimal places). In simplest radical form it is 6√149.

Is 5364 a perfect square?

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

What is 5364 squared?

5364 Ɨ 5364 = 28772496.

What is the square root of 5364 rounded to 2 decimals?

73.24.

Nearby numbers

More about 5364

    Square root of 5364: 73.239334 | WordGPT