Square root of 4252

The square root of 4252 is 65.207362 (rounded to 6 decimal places). In simplest radical form it is 2√1063.

Square root of 4252

Pick any whole number from 1 to 10,000.

\sqrt{4252} = 2\sqrt{1063} \approx 65.207362

How to work it out

1
The square root of 4252 is the number that multiplied by itself gives 4252.
2
4252 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4252 = 4 × 1063, so
$\sqrt{4252} = \sqrt{4 \times 1063} = 2\sqrt{1063}$
4
A calculator, or long division of digits, gives
$\sqrt{4252} \approx 65.207362$

LaTeX source of the formulas on this page

\[ \sqrt{4252} = 2\sqrt{1063} \approx 65.207362 \]
\[ \sqrt{4252} = \sqrt{4 \times 1063} = 2\sqrt{1063} \]
\[ \sqrt{4252} \approx 65.207362 \]

What is the square root of 4252?

The square root of 4252 is 65.207362 (rounded to 6 decimal places). In simplest radical form it is 2√1063.

Is 4252 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4252 squared?

4252 × 4252 = 18079504.

What is the square root of 4252 rounded to 2 decimals?

65.21.