Square root of 1422

The square root of 1422 is 37.709415 (rounded to 6 decimal places). In simplest radical form it is 3√158.

Square root of 1422

Pick any whole number from 1 to 10,000.

\sqrt{1422} = 3\sqrt{158} \approx 37.709415

How to work it out

1
The square root of 1422 is the number that multiplied by itself gives 1422.
2
1422 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: 1422 = 9 × 158, so
$\sqrt{1422} = \sqrt{9 \times 158} = 3\sqrt{158}$
4
A calculator, or long division of digits, gives
$\sqrt{1422} \approx 37.709415$

LaTeX source of the formulas on this page

\[ \sqrt{1422} = 3\sqrt{158} \approx 37.709415 \]
\[ \sqrt{1422} = \sqrt{9 \times 158} = 3\sqrt{158} \]
\[ \sqrt{1422} \approx 37.709415 \]

What is the square root of 1422?

The square root of 1422 is 37.709415 (rounded to 6 decimal places). In simplest radical form it is 3√158.

Is 1422 a perfect square?

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

What is 1422 squared?

1422 × 1422 = 2022084.

What is the square root of 1422 rounded to 2 decimals?

37.71.