Square root of 7984

The square root of 7984 is 89.353232 (rounded to 6 decimal places). In simplest radical form it is 4√499.

Square root of 7984

Pick any whole number from 1 to 10,000.

\sqrt{7984} = 4\sqrt{499} \approx 89.353232

How to work it out

1
The square root of 7984 is the number that multiplied by itself gives 7984.
2
7984 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: 7984 = 16 × 499, so
$\sqrt{7984} = \sqrt{16 \times 499} = 4\sqrt{499}$
4
A calculator, or long division of digits, gives
$\sqrt{7984} \approx 89.353232$

LaTeX source of the formulas on this page

\[ \sqrt{7984} = 4\sqrt{499} \approx 89.353232 \]
\[ \sqrt{7984} = \sqrt{16 \times 499} = 4\sqrt{499} \]
\[ \sqrt{7984} \approx 89.353232 \]

What is the square root of 7984?

The square root of 7984 is 89.353232 (rounded to 6 decimal places). In simplest radical form it is 4√499.

Is 7984 a perfect square?

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

What is 7984 squared?

7984 × 7984 = 63744256.

What is the square root of 7984 rounded to 2 decimals?

89.35.