Square root of 6052

The square root of 6052 is 77.794601 (rounded to 6 decimal places). In simplest radical form it is 2√1513.

Square root of 6052

Pick any whole number from 1 to 10,000.

\sqrt{6052} = 2\sqrt{1513} \approx 77.794601

How to work it out

1
The square root of 6052 is the number that multiplied by itself gives 6052.
2
6052 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: 6052 = 4 × 1513, so
$\sqrt{6052} = \sqrt{4 \times 1513} = 2\sqrt{1513}$
4
A calculator, or long division of digits, gives
$\sqrt{6052} \approx 77.794601$

LaTeX source of the formulas on this page

\[ \sqrt{6052} = 2\sqrt{1513} \approx 77.794601 \]
\[ \sqrt{6052} = \sqrt{4 \times 1513} = 2\sqrt{1513} \]
\[ \sqrt{6052} \approx 77.794601 \]

What is the square root of 6052?

The square root of 6052 is 77.794601 (rounded to 6 decimal places). In simplest radical form it is 2√1513.

Is 6052 a perfect square?

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

What is 6052 squared?

6052 × 6052 = 36626704.

What is the square root of 6052 rounded to 2 decimals?

77.79.