Square root of 1972

The square root of 1972 is 44.407207 (rounded to 6 decimal places). In simplest radical form it is 2√493.

Square root of 1972

Pick any whole number from 1 to 10,000.

\sqrt{1972} = 2\sqrt{493} \approx 44.407207

How to work it out

1
The square root of 1972 is the number that multiplied by itself gives 1972.
2
1972 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: 1972 = 4 × 493, so
$\sqrt{1972} = \sqrt{4 \times 493} = 2\sqrt{493}$
4
A calculator, or long division of digits, gives
$\sqrt{1972} \approx 44.407207$

LaTeX source of the formulas on this page

\[ \sqrt{1972} = 2\sqrt{493} \approx 44.407207 \]
\[ \sqrt{1972} = \sqrt{4 \times 493} = 2\sqrt{493} \]
\[ \sqrt{1972} \approx 44.407207 \]

What is the square root of 1972?

The square root of 1972 is 44.407207 (rounded to 6 decimal places). In simplest radical form it is 2√493.

Is 1972 a perfect square?

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

What is 1972 squared?

1972 × 1972 = 3888784.

What is the square root of 1972 rounded to 2 decimals?

44.41.