Square root of 1448

The square root of 1448 is 38.052595 (rounded to 6 decimal places). In simplest radical form it is 2√362.

Square root of 1448

Pick any whole number from 1 to 10,000.

\sqrt{1448} = 2\sqrt{362} \approx 38.052595

How to work it out

1
The square root of 1448 is the number that multiplied by itself gives 1448.
2
1448 is between the perfect squares 38² = 1444 and 39² = 1521, so its square root is between 38 and 39.
3
Pull out the biggest square factor: 1448 = 4 × 362, so
$\sqrt{1448} = \sqrt{4 \times 362} = 2\sqrt{362}$
4
A calculator, or long division of digits, gives
$\sqrt{1448} \approx 38.052595$

LaTeX source of the formulas on this page

\[ \sqrt{1448} = 2\sqrt{362} \approx 38.052595 \]
\[ \sqrt{1448} = \sqrt{4 \times 362} = 2\sqrt{362} \]
\[ \sqrt{1448} \approx 38.052595 \]

What is the square root of 1448?

The square root of 1448 is 38.052595 (rounded to 6 decimal places). In simplest radical form it is 2√362.

Is 1448 a perfect square?

No. It lies between 38² = 1444 and 39² = 1521.

What is 1448 squared?

1448 × 1448 = 2096704.

What is the square root of 1448 rounded to 2 decimals?

38.05.