Square root of 7964

The square root of 7964 is 89.241246 (rounded to 6 decimal places). In simplest radical form it is 2√1991.

Square root of 7964

Pick any whole number from 1 to 10,000.

\sqrt{7964} = 2\sqrt{1991} \approx 89.241246

How to work it out

1
The square root of 7964 is the number that multiplied by itself gives 7964.
2
7964 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 7964 = 4 × 1991, so
$\sqrt{7964} = \sqrt{4 \times 1991} = 2\sqrt{1991}$
4
A calculator, or long division of digits, gives
$\sqrt{7964} \approx 89.241246$

LaTeX source of the formulas on this page

\[ \sqrt{7964} = 2\sqrt{1991} \approx 89.241246 \]
\[ \sqrt{7964} = \sqrt{4 \times 1991} = 2\sqrt{1991} \]
\[ \sqrt{7964} \approx 89.241246 \]

What is the square root of 7964?

The square root of 7964 is 89.241246 (rounded to 6 decimal places). In simplest radical form it is 2√1991.

Is 7964 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 7964 squared?

7964 × 7964 = 63425296.

What is the square root of 7964 rounded to 2 decimals?

89.24.