Square root of 5949

The square root of 5949 is 77.129761 (rounded to 6 decimal places). In simplest radical form it is 3√661.

Square root of 5949

Pick any whole number from 1 to 10,000.

\sqrt{5949} = 3\sqrt{661} \approx 77.129761

How to work it out

1
The square root of 5949 is the number that multiplied by itself gives 5949.
2
5949 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: 5949 = 9 × 661, so
$\sqrt{5949} = \sqrt{9 \times 661} = 3\sqrt{661}$
4
A calculator, or long division of digits, gives
$\sqrt{5949} \approx 77.129761$

LaTeX source of the formulas on this page

\[ \sqrt{5949} = 3\sqrt{661} \approx 77.129761 \]
\[ \sqrt{5949} = \sqrt{9 \times 661} = 3\sqrt{661} \]
\[ \sqrt{5949} \approx 77.129761 \]

What is the square root of 5949?

The square root of 5949 is 77.129761 (rounded to 6 decimal places). In simplest radical form it is 3√661.

Is 5949 a perfect square?

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

What is 5949 squared?

5949 × 5949 = 35390601.

What is the square root of 5949 rounded to 2 decimals?

77.13.