Square root of 1449

The square root of 1449 is 38.065733 (rounded to 6 decimal places). In simplest radical form it is 3√161.

Square root of 1449

Pick any whole number from 1 to 10,000.

\sqrt{1449} = 3\sqrt{161} \approx 38.065733

How to work it out

1
The square root of 1449 is the number that multiplied by itself gives 1449.
2
1449 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: 1449 = 9 × 161, so
$\sqrt{1449} = \sqrt{9 \times 161} = 3\sqrt{161}$
4
A calculator, or long division of digits, gives
$\sqrt{1449} \approx 38.065733$

LaTeX source of the formulas on this page

\[ \sqrt{1449} = 3\sqrt{161} \approx 38.065733 \]
\[ \sqrt{1449} = \sqrt{9 \times 161} = 3\sqrt{161} \]
\[ \sqrt{1449} \approx 38.065733 \]

What is the square root of 1449?

The square root of 1449 is 38.065733 (rounded to 6 decimal places). In simplest radical form it is 3√161.

Is 1449 a perfect square?

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

What is 1449 squared?

1449 × 1449 = 2099601.

What is the square root of 1449 rounded to 2 decimals?

38.07.