Square root of 1452

The square root of 1452 is 38.105118 (rounded to 6 decimal places). In simplest radical form it is 22√3.

Square root of 1452

Pick any whole number from 1 to 10,000.

\sqrt{1452} = 22\sqrt{3} \approx 38.105118

How to work it out

1
The square root of 1452 is the number that multiplied by itself gives 1452.
2
1452 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: 1452 = 484 × 3, so
$\sqrt{1452} = \sqrt{484 \times 3} = 22\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{1452} \approx 38.105118$

LaTeX source of the formulas on this page

\[ \sqrt{1452} = 22\sqrt{3} \approx 38.105118 \]
\[ \sqrt{1452} = \sqrt{484 \times 3} = 22\sqrt{3} \]
\[ \sqrt{1452} \approx 38.105118 \]

What is the square root of 1452?

The square root of 1452 is 38.105118 (rounded to 6 decimal places). In simplest radical form it is 22√3.

Is 1452 a perfect square?

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

What is 1452 squared?

1452 × 1452 = 2108304.

What is the square root of 1452 rounded to 2 decimals?

38.11.