Square root of 1984

The square root of 1984 is 44.542115 (rounded to 6 decimal places). In simplest radical form it is 8√31.

Square root of 1984

Pick any whole number from 1 to 10,000.

\sqrt{1984} = 8\sqrt{31} \approx 44.542115

How to work it out

1
The square root of 1984 is the number that multiplied by itself gives 1984.
2
1984 is between the perfect squares 44² = 1936 and 45² = 2025, so its square root is between 44 and 45.
3
Pull out the biggest square factor: 1984 = 64 × 31, so
$\sqrt{1984} = \sqrt{64 \times 31} = 8\sqrt{31}$
4
A calculator, or long division of digits, gives
$\sqrt{1984} \approx 44.542115$

LaTeX source of the formulas on this page

\[ \sqrt{1984} = 8\sqrt{31} \approx 44.542115 \]
\[ \sqrt{1984} = \sqrt{64 \times 31} = 8\sqrt{31} \]
\[ \sqrt{1984} \approx 44.542115 \]

What is the square root of 1984?

The square root of 1984 is 44.542115 (rounded to 6 decimal places). In simplest radical form it is 8√31.

Is 1984 a perfect square?

No. It lies between 44² = 1936 and 45² = 2025.

What is 1984 squared?

1984 × 1984 = 3936256.

What is the square root of 1984 rounded to 2 decimals?

44.54.