Square root of 5733

The square root of 5733 is 75.716577 (rounded to 6 decimal places). In simplest radical form it is 21√13.

Square root of 5733

Pick any whole number from 1 to 10,000.

\sqrt{5733} = 21\sqrt{13} \approx 75.716577

How to work it out

1
The square root of 5733 is the number that multiplied by itself gives 5733.
2
5733 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5733 = 441 × 13, so
$\sqrt{5733} = \sqrt{441 \times 13} = 21\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{5733} \approx 75.716577$

LaTeX source of the formulas on this page

\[ \sqrt{5733} = 21\sqrt{13} \approx 75.716577 \]
\[ \sqrt{5733} = \sqrt{441 \times 13} = 21\sqrt{13} \]
\[ \sqrt{5733} \approx 75.716577 \]

What is the square root of 5733?

The square root of 5733 is 75.716577 (rounded to 6 decimal places). In simplest radical form it is 21√13.

Is 5733 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5733 squared?

5733 × 5733 = 32867289.

What is the square root of 5733 rounded to 2 decimals?

75.72.