Square root of 7864

The square root of 7864 is 88.679197 (rounded to 6 decimal places). In simplest radical form it is 2√1966.

Square root of 7864

Pick any whole number from 1 to 10,000.

\sqrt{7864} = 2\sqrt{1966} \approx 88.679197

How to work it out

1
The square root of 7864 is the number that multiplied by itself gives 7864.
2
7864 is between the perfect squares 88² = 7744 and 89² = 7921, so its square root is between 88 and 89.
3
Pull out the biggest square factor: 7864 = 4 × 1966, so
$\sqrt{7864} = \sqrt{4 \times 1966} = 2\sqrt{1966}$
4
A calculator, or long division of digits, gives
$\sqrt{7864} \approx 88.679197$

LaTeX source of the formulas on this page

\[ \sqrt{7864} = 2\sqrt{1966} \approx 88.679197 \]
\[ \sqrt{7864} = \sqrt{4 \times 1966} = 2\sqrt{1966} \]
\[ \sqrt{7864} \approx 88.679197 \]

What is the square root of 7864?

The square root of 7864 is 88.679197 (rounded to 6 decimal places). In simplest radical form it is 2√1966.

Is 7864 a perfect square?

No. It lies between 88² = 7744 and 89² = 7921.

What is 7864 squared?

7864 × 7864 = 61842496.

What is the square root of 7864 rounded to 2 decimals?

88.68.