Square root of 5964

The square root of 5964 is 77.226938 (rounded to 6 decimal places). In simplest radical form it is 2√1491.

Square root of 5964

Pick any whole number from 1 to 10,000.

\sqrt{5964} = 2\sqrt{1491} \approx 77.226938

How to work it out

1
The square root of 5964 is the number that multiplied by itself gives 5964.
2
5964 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: 5964 = 4 × 1491, so
$\sqrt{5964} = \sqrt{4 \times 1491} = 2\sqrt{1491}$
4
A calculator, or long division of digits, gives
$\sqrt{5964} \approx 77.226938$

LaTeX source of the formulas on this page

\[ \sqrt{5964} = 2\sqrt{1491} \approx 77.226938 \]
\[ \sqrt{5964} = \sqrt{4 \times 1491} = 2\sqrt{1491} \]
\[ \sqrt{5964} \approx 77.226938 \]

What is the square root of 5964?

The square root of 5964 is 77.226938 (rounded to 6 decimal places). In simplest radical form it is 2√1491.

Is 5964 a perfect square?

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

What is 5964 squared?

5964 × 5964 = 35569296.

What is the square root of 5964 rounded to 2 decimals?

77.23.