Square root of 1420

The square root of 1420 is 37.682887 (rounded to 6 decimal places). In simplest radical form it is 2√355.

Square root of 1420

Pick any whole number from 1 to 10,000.

\sqrt{1420} = 2\sqrt{355} \approx 37.682887

How to work it out

1
The square root of 1420 is the number that multiplied by itself gives 1420.
2
1420 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: 1420 = 4 × 355, so
$\sqrt{1420} = \sqrt{4 \times 355} = 2\sqrt{355}$
4
A calculator, or long division of digits, gives
$\sqrt{1420} \approx 37.682887$

LaTeX source of the formulas on this page

\[ \sqrt{1420} = 2\sqrt{355} \approx 37.682887 \]
\[ \sqrt{1420} = \sqrt{4 \times 355} = 2\sqrt{355} \]
\[ \sqrt{1420} \approx 37.682887 \]

What is the square root of 1420?

The square root of 1420 is 37.682887 (rounded to 6 decimal places). In simplest radical form it is 2√355.

Is 1420 a perfect square?

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

What is 1420 squared?

1420 × 1420 = 2016400.

What is the square root of 1420 rounded to 2 decimals?

37.68.