Square root of 7052

The square root of 7052 is 83.976187 (rounded to 6 decimal places). In simplest radical form it is 2√1763.

Square root of 7052

Pick any whole number from 1 to 10,000.

\sqrt{7052} = 2\sqrt{1763} \approx 83.976187

How to work it out

1
The square root of 7052 is the number that multiplied by itself gives 7052.
2
7052 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 7052 = 4 × 1763, so
$\sqrt{7052} = \sqrt{4 \times 1763} = 2\sqrt{1763}$
4
A calculator, or long division of digits, gives
$\sqrt{7052} \approx 83.976187$

LaTeX source of the formulas on this page

\[ \sqrt{7052} = 2\sqrt{1763} \approx 83.976187 \]
\[ \sqrt{7052} = \sqrt{4 \times 1763} = 2\sqrt{1763} \]
\[ \sqrt{7052} \approx 83.976187 \]

What is the square root of 7052?

The square root of 7052 is 83.976187 (rounded to 6 decimal places). In simplest radical form it is 2√1763.

Is 7052 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 7052 squared?

7052 × 7052 = 49730704.

What is the square root of 7052 rounded to 2 decimals?

83.98.