Square root of 4052

The square root of 4052 is 63.655322 (rounded to 6 decimal places). In simplest radical form it is 2√1013.

Square root of 4052

Pick any whole number from 1 to 10,000.

\sqrt{4052} = 2\sqrt{1013} \approx 63.655322

How to work it out

1
The square root of 4052 is the number that multiplied by itself gives 4052.
2
4052 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 4052 = 4 × 1013, so
$\sqrt{4052} = \sqrt{4 \times 1013} = 2\sqrt{1013}$
4
A calculator, or long division of digits, gives
$\sqrt{4052} \approx 63.655322$

LaTeX source of the formulas on this page

\[ \sqrt{4052} = 2\sqrt{1013} \approx 63.655322 \]
\[ \sqrt{4052} = \sqrt{4 \times 1013} = 2\sqrt{1013} \]
\[ \sqrt{4052} \approx 63.655322 \]

What is the square root of 4052?

The square root of 4052 is 63.655322 (rounded to 6 decimal places). In simplest radical form it is 2√1013.

Is 4052 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 4052 squared?

4052 × 4052 = 16418704.

What is the square root of 4052 rounded to 2 decimals?

63.66.