Square root of 5996

The square root of 5996 is 77.433843 (rounded to 6 decimal places). In simplest radical form it is 2√1499.

Square root of 5996

Pick any whole number from 1 to 10,000.

\sqrt{5996} = 2\sqrt{1499} \approx 77.433843

How to work it out

1
The square root of 5996 is the number that multiplied by itself gives 5996.
2
5996 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: 5996 = 4 × 1499, so
$\sqrt{5996} = \sqrt{4 \times 1499} = 2\sqrt{1499}$
4
A calculator, or long division of digits, gives
$\sqrt{5996} \approx 77.433843$

LaTeX source of the formulas on this page

\[ \sqrt{5996} = 2\sqrt{1499} \approx 77.433843 \]
\[ \sqrt{5996} = \sqrt{4 \times 1499} = 2\sqrt{1499} \]
\[ \sqrt{5996} \approx 77.433843 \]

What is the square root of 5996?

The square root of 5996 is 77.433843 (rounded to 6 decimal places). In simplest radical form it is 2√1499.

Is 5996 a perfect square?

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

What is 5996 squared?

5996 × 5996 = 35952016.

What is the square root of 5996 rounded to 2 decimals?

77.43.