Square root of 1412

The square root of 1412 is 37.576588 (rounded to 6 decimal places). In simplest radical form it is 2√353.

Square root of 1412

Pick any whole number from 1 to 10,000.

\sqrt{1412} = 2\sqrt{353} \approx 37.576588

How to work it out

1
The square root of 1412 is the number that multiplied by itself gives 1412.
2
1412 is between the perfect squares 37² = 1369 and 38² = 1444, so its square root is between 37 and 38.
3
Pull out the biggest square factor: 1412 = 4 × 353, so
$\sqrt{1412} = \sqrt{4 \times 353} = 2\sqrt{353}$
4
A calculator, or long division of digits, gives
$\sqrt{1412} \approx 37.576588$

LaTeX source of the formulas on this page

\[ \sqrt{1412} = 2\sqrt{353} \approx 37.576588 \]
\[ \sqrt{1412} = \sqrt{4 \times 353} = 2\sqrt{353} \]
\[ \sqrt{1412} \approx 37.576588 \]

What is the square root of 1412?

The square root of 1412 is 37.576588 (rounded to 6 decimal places). In simplest radical form it is 2√353.

Is 1412 a perfect square?

No. It lies between 37² = 1369 and 38² = 1444.

What is 1412 squared?

1412 × 1412 = 1993744.

What is the square root of 1412 rounded to 2 decimals?

37.58.