Square root of 5704

The square root of 5704 is 75.52483 (rounded to 6 decimal places). In simplest radical form it is 2√1426.

Square root of 5704

Pick any whole number from 1 to 10,000.

\sqrt{5704} = 2\sqrt{1426} \approx 75.52483

How to work it out

1
The square root of 5704 is the number that multiplied by itself gives 5704.
2
5704 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: 5704 = 4 × 1426, so
$\sqrt{5704} = \sqrt{4 \times 1426} = 2\sqrt{1426}$
4
A calculator, or long division of digits, gives
$\sqrt{5704} \approx 75.52483$

LaTeX source of the formulas on this page

\[ \sqrt{5704} = 2\sqrt{1426} \approx 75.52483 \]
\[ \sqrt{5704} = \sqrt{4 \times 1426} = 2\sqrt{1426} \]
\[ \sqrt{5704} \approx 75.52483 \]

What is the square root of 5704?

The square root of 5704 is 75.52483 (rounded to 6 decimal places). In simplest radical form it is 2√1426.

Is 5704 a perfect square?

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

What is 5704 squared?

5704 × 5704 = 32535616.

What is the square root of 5704 rounded to 2 decimals?

75.52.