Square root of 5992

The square root of 5992 is 77.40801 (rounded to 6 decimal places). In simplest radical form it is 2√1498.

Square root of 5992

Pick any whole number from 1 to 10,000.

\sqrt{5992} = 2\sqrt{1498} \approx 77.40801

How to work it out

1
The square root of 5992 is the number that multiplied by itself gives 5992.
2
5992 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 5992 = 4 × 1498, so
$\sqrt{5992} = \sqrt{4 \times 1498} = 2\sqrt{1498}$
4
A calculator, or long division of digits, gives
$\sqrt{5992} \approx 77.40801$

LaTeX source of the formulas on this page

\[ \sqrt{5992} = 2\sqrt{1498} \approx 77.40801 \]
\[ \sqrt{5992} = \sqrt{4 \times 1498} = 2\sqrt{1498} \]
\[ \sqrt{5992} \approx 77.40801 \]

What is the square root of 5992?

The square root of 5992 is 77.40801 (rounded to 6 decimal places). In simplest radical form it is 2√1498.

Is 5992 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 5992 squared?

5992 × 5992 = 35904064.

What is the square root of 5992 rounded to 2 decimals?

77.41.