Square root of 5956

The square root of 5956 is 77.175126 (rounded to 6 decimal places). In simplest radical form it is 2√1489.

Square root of 5956

Pick any whole number from 1 to 10,000.

\sqrt{5956} = 2\sqrt{1489} \approx 77.175126

How to work it out

1
The square root of 5956 is the number that multiplied by itself gives 5956.
2
5956 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: 5956 = 4 × 1489, so
$\sqrt{5956} = \sqrt{4 \times 1489} = 2\sqrt{1489}$
4
A calculator, or long division of digits, gives
$\sqrt{5956} \approx 77.175126$

LaTeX source of the formulas on this page

\[ \sqrt{5956} = 2\sqrt{1489} \approx 77.175126 \]
\[ \sqrt{5956} = \sqrt{4 \times 1489} = 2\sqrt{1489} \]
\[ \sqrt{5956} \approx 77.175126 \]

What is the square root of 5956?

The square root of 5956 is 77.175126 (rounded to 6 decimal places). In simplest radical form it is 2√1489.

Is 5956 a perfect square?

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

What is 5956 squared?

5956 × 5956 = 35473936.

What is the square root of 5956 rounded to 2 decimals?

77.18.