Square root of 5972

The square root of 5972 is 77.278716 (rounded to 6 decimal places). In simplest radical form it is 2√1493.

Square root of 5972

Pick any whole number from 1 to 10,000.

\sqrt{5972} = 2\sqrt{1493} \approx 77.278716

How to work it out

1
The square root of 5972 is the number that multiplied by itself gives 5972.
2
5972 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: 5972 = 4 × 1493, so
$\sqrt{5972} = \sqrt{4 \times 1493} = 2\sqrt{1493}$
4
A calculator, or long division of digits, gives
$\sqrt{5972} \approx 77.278716$

LaTeX source of the formulas on this page

\[ \sqrt{5972} = 2\sqrt{1493} \approx 77.278716 \]
\[ \sqrt{5972} = \sqrt{4 \times 1493} = 2\sqrt{1493} \]
\[ \sqrt{5972} \approx 77.278716 \]

What is the square root of 5972?

The square root of 5972 is 77.278716 (rounded to 6 decimal places). In simplest radical form it is 2√1493.

Is 5972 a perfect square?

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

What is 5972 squared?

5972 × 5972 = 35664784.

What is the square root of 5972 rounded to 2 decimals?

77.28.