Square root of 5976

The square root of 5976 is 77.304592 (rounded to 6 decimal places). In simplest radical form it is 6√166.

Square root of 5976

Pick any whole number from 1 to 10,000.

\sqrt{5976} = 6\sqrt{166} \approx 77.304592

How to work it out

1
The square root of 5976 is the number that multiplied by itself gives 5976.
2
5976 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: 5976 = 36 × 166, so
$\sqrt{5976} = \sqrt{36 \times 166} = 6\sqrt{166}$
4
A calculator, or long division of digits, gives
$\sqrt{5976} \approx 77.304592$

LaTeX source of the formulas on this page

\[ \sqrt{5976} = 6\sqrt{166} \approx 77.304592 \]
\[ \sqrt{5976} = \sqrt{36 \times 166} = 6\sqrt{166} \]
\[ \sqrt{5976} \approx 77.304592 \]

What is the square root of 5976?

The square root of 5976 is 77.304592 (rounded to 6 decimal places). In simplest radical form it is 6√166.

Is 5976 a perfect square?

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

What is 5976 squared?

5976 × 5976 = 35712576.

What is the square root of 5976 rounded to 2 decimals?

77.30.