Square root of 5736

The square root of 5736 is 75.736385 (rounded to 6 decimal places). In simplest radical form it is 2√1434.

Square root of 5736

Pick any whole number from 1 to 10,000.

\sqrt{5736} = 2\sqrt{1434} \approx 75.736385

How to work it out

1
The square root of 5736 is the number that multiplied by itself gives 5736.
2
5736 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: 5736 = 4 × 1434, so
$\sqrt{5736} = \sqrt{4 \times 1434} = 2\sqrt{1434}$
4
A calculator, or long division of digits, gives
$\sqrt{5736} \approx 75.736385$

LaTeX source of the formulas on this page

\[ \sqrt{5736} = 2\sqrt{1434} \approx 75.736385 \]
\[ \sqrt{5736} = \sqrt{4 \times 1434} = 2\sqrt{1434} \]
\[ \sqrt{5736} \approx 75.736385 \]

What is the square root of 5736?

The square root of 5736 is 75.736385 (rounded to 6 decimal places). In simplest radical form it is 2√1434.

Is 5736 a perfect square?

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

What is 5736 squared?

5736 × 5736 = 32901696.

What is the square root of 5736 rounded to 2 decimals?

75.74.