Square root of 2888

The square root of 2888 is 53.740115 (rounded to 6 decimal places). In simplest radical form it is 38√2.

Square root of 2888

Pick any whole number from 1 to 10,000.

\sqrt{2888} = 38\sqrt{2} \approx 53.740115

How to work it out

1
The square root of 2888 is the number that multiplied by itself gives 2888.
2
2888 is between the perfect squares 53² = 2809 and 54² = 2916, so its square root is between 53 and 54.
3
Pull out the biggest square factor: 2888 = 1444 × 2, so
$\sqrt{2888} = \sqrt{1444 \times 2} = 38\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{2888} \approx 53.740115$

LaTeX source of the formulas on this page

\[ \sqrt{2888} = 38\sqrt{2} \approx 53.740115 \]
\[ \sqrt{2888} = \sqrt{1444 \times 2} = 38\sqrt{2} \]
\[ \sqrt{2888} \approx 53.740115 \]

What is the square root of 2888?

The square root of 2888 is 53.740115 (rounded to 6 decimal places). In simplest radical form it is 38√2.

Is 2888 a perfect square?

No. It lies between 53² = 2809 and 54² = 2916.

What is 2888 squared?

2888 × 2888 = 8340544.

What is the square root of 2888 rounded to 2 decimals?

53.74.