Square root of 1436

The square root of 1436 is 37.894591 (rounded to 6 decimal places). In simplest radical form it is 2√359.

Square root of 1436

Pick any whole number from 1 to 10,000.

\sqrt{1436} = 2\sqrt{359} \approx 37.894591

How to work it out

1
The square root of 1436 is the number that multiplied by itself gives 1436.
2
1436 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: 1436 = 4 × 359, so
$\sqrt{1436} = \sqrt{4 \times 359} = 2\sqrt{359}$
4
A calculator, or long division of digits, gives
$\sqrt{1436} \approx 37.894591$

LaTeX source of the formulas on this page

\[ \sqrt{1436} = 2\sqrt{359} \approx 37.894591 \]
\[ \sqrt{1436} = \sqrt{4 \times 359} = 2\sqrt{359} \]
\[ \sqrt{1436} \approx 37.894591 \]

What is the square root of 1436?

The square root of 1436 is 37.894591 (rounded to 6 decimal places). In simplest radical form it is 2√359.

Is 1436 a perfect square?

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

What is 1436 squared?

1436 × 1436 = 2062096.

What is the square root of 1436 rounded to 2 decimals?

37.89.