Square root of 5940

The square root of 5940 is 77.071395 (rounded to 6 decimal places). In simplest radical form it is 6√165.

Square root of 5940

Pick any whole number from 1 to 10,000.

\sqrt{5940} = 6\sqrt{165} \approx 77.071395

How to work it out

1
The square root of 5940 is the number that multiplied by itself gives 5940.
2
5940 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: 5940 = 36 × 165, so
$\sqrt{5940} = \sqrt{36 \times 165} = 6\sqrt{165}$
4
A calculator, or long division of digits, gives
$\sqrt{5940} \approx 77.071395$

LaTeX source of the formulas on this page

\[ \sqrt{5940} = 6\sqrt{165} \approx 77.071395 \]
\[ \sqrt{5940} = \sqrt{36 \times 165} = 6\sqrt{165} \]
\[ \sqrt{5940} \approx 77.071395 \]

What is the square root of 5940?

The square root of 5940 is 77.071395 (rounded to 6 decimal places). In simplest radical form it is 6√165.

Is 5940 a perfect square?

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

What is 5940 squared?

5940 × 5940 = 35283600.

What is the square root of 5940 rounded to 2 decimals?

77.07.