Square root of 1888

The square root of 1888 is 43.451122 (rounded to 6 decimal places). In simplest radical form it is 4√118.

Square root of 1888

Pick any whole number from 1 to 10,000.

\sqrt{1888} = 4\sqrt{118} \approx 43.451122

How to work it out

1
The square root of 1888 is the number that multiplied by itself gives 1888.
2
1888 is between the perfect squares 43² = 1849 and 44² = 1936, so its square root is between 43 and 44.
3
Pull out the biggest square factor: 1888 = 16 × 118, so
$\sqrt{1888} = \sqrt{16 \times 118} = 4\sqrt{118}$
4
A calculator, or long division of digits, gives
$\sqrt{1888} \approx 43.451122$

LaTeX source of the formulas on this page

\[ \sqrt{1888} = 4\sqrt{118} \approx 43.451122 \]
\[ \sqrt{1888} = \sqrt{16 \times 118} = 4\sqrt{118} \]
\[ \sqrt{1888} \approx 43.451122 \]

What is the square root of 1888?

The square root of 1888 is 43.451122 (rounded to 6 decimal places). In simplest radical form it is 4√118.

Is 1888 a perfect square?

No. It lies between 43² = 1849 and 44² = 1936.

What is 1888 squared?

1888 × 1888 = 3564544.

What is the square root of 1888 rounded to 2 decimals?

43.45.