Square root of 5988

The square root of 5988 is 77.382168 (rounded to 6 decimal places). In simplest radical form it is 2√1497.

Square root of 5988

Pick any whole number from 1 to 10,000.

\sqrt{5988} = 2\sqrt{1497} \approx 77.382168

How to work it out

1
The square root of 5988 is the number that multiplied by itself gives 5988.
2
5988 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: 5988 = 4 × 1497, so
$\sqrt{5988} = \sqrt{4 \times 1497} = 2\sqrt{1497}$
4
A calculator, or long division of digits, gives
$\sqrt{5988} \approx 77.382168$

LaTeX source of the formulas on this page

\[ \sqrt{5988} = 2\sqrt{1497} \approx 77.382168 \]
\[ \sqrt{5988} = \sqrt{4 \times 1497} = 2\sqrt{1497} \]
\[ \sqrt{5988} \approx 77.382168 \]

What is the square root of 5988?

The square root of 5988 is 77.382168 (rounded to 6 decimal places). In simplest radical form it is 2√1497.

Is 5988 a perfect square?

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

What is 5988 squared?

5988 × 5988 = 35856144.

What is the square root of 5988 rounded to 2 decimals?

77.38.