Square root of 5968

The square root of 5968 is 77.252832 (rounded to 6 decimal places). In simplest radical form it is 4√373.

Square root of 5968

Pick any whole number from 1 to 10,000.

\sqrt{5968} = 4\sqrt{373} \approx 77.252832

How to work it out

1
The square root of 5968 is the number that multiplied by itself gives 5968.
2
5968 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: 5968 = 16 × 373, so
$\sqrt{5968} = \sqrt{16 \times 373} = 4\sqrt{373}$
4
A calculator, or long division of digits, gives
$\sqrt{5968} \approx 77.252832$

LaTeX source of the formulas on this page

\[ \sqrt{5968} = 4\sqrt{373} \approx 77.252832 \]
\[ \sqrt{5968} = \sqrt{16 \times 373} = 4\sqrt{373} \]
\[ \sqrt{5968} \approx 77.252832 \]

What is the square root of 5968?

The square root of 5968 is 77.252832 (rounded to 6 decimal places). In simplest radical form it is 4√373.

Is 5968 a perfect square?

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

What is 5968 squared?

5968 × 5968 = 35617024.

What is the square root of 5968 rounded to 2 decimals?

77.25.