Square root of 5967

The square root of 5967 is 77.246359 (rounded to 6 decimal places). In simplest radical form it is 3√663.

Square root of 5967

Pick any whole number from 1 to 10,000.

\sqrt{5967} = 3\sqrt{663} \approx 77.246359

How to work it out

1
The square root of 5967 is the number that multiplied by itself gives 5967.
2
5967 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: 5967 = 9 × 663, so
$\sqrt{5967} = \sqrt{9 \times 663} = 3\sqrt{663}$
4
A calculator, or long division of digits, gives
$\sqrt{5967} \approx 77.246359$

LaTeX source of the formulas on this page

\[ \sqrt{5967} = 3\sqrt{663} \approx 77.246359 \]
\[ \sqrt{5967} = \sqrt{9 \times 663} = 3\sqrt{663} \]
\[ \sqrt{5967} \approx 77.246359 \]

What is the square root of 5967?

The square root of 5967 is 77.246359 (rounded to 6 decimal places). In simplest radical form it is 3√663.

Is 5967 a perfect square?

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

What is 5967 squared?

5967 × 5967 = 35605089.

What is the square root of 5967 rounded to 2 decimals?

77.25.