Square root of 1416

The square root of 1416 is 37.629775 (rounded to 6 decimal places). In simplest radical form it is 2√354.

Square root of 1416

Pick any whole number from 1 to 10,000.

\sqrt{1416} = 2\sqrt{354} \approx 37.629775

How to work it out

1
The square root of 1416 is the number that multiplied by itself gives 1416.
2
1416 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: 1416 = 4 × 354, so
$\sqrt{1416} = \sqrt{4 \times 354} = 2\sqrt{354}$
4
A calculator, or long division of digits, gives
$\sqrt{1416} \approx 37.629775$

LaTeX source of the formulas on this page

\[ \sqrt{1416} = 2\sqrt{354} \approx 37.629775 \]
\[ \sqrt{1416} = \sqrt{4 \times 354} = 2\sqrt{354} \]
\[ \sqrt{1416} \approx 37.629775 \]

What is the square root of 1416?

The square root of 1416 is 37.629775 (rounded to 6 decimal places). In simplest radical form it is 2√354.

Is 1416 a perfect square?

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

What is 1416 squared?

1416 × 1416 = 2005056.

What is the square root of 1416 rounded to 2 decimals?

37.63.