Square root of 2984

The square root of 2984 is 54.626001 (rounded to 6 decimal places). In simplest radical form it is 2√746.

Square root of 2984

Pick any whole number from 1 to 10,000.

\sqrt{2984} = 2\sqrt{746} \approx 54.626001

How to work it out

1
The square root of 2984 is the number that multiplied by itself gives 2984.
2
2984 is between the perfect squares 54² = 2916 and 55² = 3025, so its square root is between 54 and 55.
3
Pull out the biggest square factor: 2984 = 4 × 746, so
$\sqrt{2984} = \sqrt{4 \times 746} = 2\sqrt{746}$
4
A calculator, or long division of digits, gives
$\sqrt{2984} \approx 54.626001$

LaTeX source of the formulas on this page

\[ \sqrt{2984} = 2\sqrt{746} \approx 54.626001 \]
\[ \sqrt{2984} = \sqrt{4 \times 746} = 2\sqrt{746} \]
\[ \sqrt{2984} \approx 54.626001 \]

What is the square root of 2984?

The square root of 2984 is 54.626001 (rounded to 6 decimal places). In simplest radical form it is 2√746.

Is 2984 a perfect square?

No. It lies between 54² = 2916 and 55² = 3025.

What is 2984 squared?

2984 × 2984 = 8904256.

What is the square root of 2984 rounded to 2 decimals?

54.63.