Square root of 5692

The square root of 5692 is 75.445344 (rounded to 6 decimal places). In simplest radical form it is 2√1423.

Square root of 5692

Pick any whole number from 1 to 10,000.

\sqrt{5692} = 2\sqrt{1423} \approx 75.445344

How to work it out

1
The square root of 5692 is the number that multiplied by itself gives 5692.
2
5692 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: 5692 = 4 × 1423, so
$\sqrt{5692} = \sqrt{4 \times 1423} = 2\sqrt{1423}$
4
A calculator, or long division of digits, gives
$\sqrt{5692} \approx 75.445344$

LaTeX source of the formulas on this page

\[ \sqrt{5692} = 2\sqrt{1423} \approx 75.445344 \]
\[ \sqrt{5692} = \sqrt{4 \times 1423} = 2\sqrt{1423} \]
\[ \sqrt{5692} \approx 75.445344 \]

What is the square root of 5692?

The square root of 5692 is 75.445344 (rounded to 6 decimal places). In simplest radical form it is 2√1423.

Is 5692 a perfect square?

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

What is 5692 squared?

5692 × 5692 = 32398864.

What is the square root of 5692 rounded to 2 decimals?

75.45.