Square root of 1948

The square root of 1948 is 44.136153 (rounded to 6 decimal places). In simplest radical form it is 2√487.

Square root of 1948

Pick any whole number from 1 to 10,000.

\sqrt{1948} = 2\sqrt{487} \approx 44.136153

How to work it out

1
The square root of 1948 is the number that multiplied by itself gives 1948.
2
1948 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: 1948 = 4 × 487, so
$\sqrt{1948} = \sqrt{4 \times 487} = 2\sqrt{487}$
4
A calculator, or long division of digits, gives
$\sqrt{1948} \approx 44.136153$

LaTeX source of the formulas on this page

\[ \sqrt{1948} = 2\sqrt{487} \approx 44.136153 \]
\[ \sqrt{1948} = \sqrt{4 \times 487} = 2\sqrt{487} \]
\[ \sqrt{1948} \approx 44.136153 \]

What is the square root of 1948?

The square root of 1948 is 44.136153 (rounded to 6 decimal places). In simplest radical form it is 2√487.

Is 1948 a perfect square?

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

What is 1948 squared?

1948 × 1948 = 3794704.

What is the square root of 1948 rounded to 2 decimals?

44.14.