Square root of 1120

The square root of 1120 is 33.466401 (rounded to 6 decimal places). In simplest radical form it is 4√70.

Square root of 1120

Pick any whole number from 1 to 10,000.

\sqrt{1120} = 4\sqrt{70} \approx 33.466401

How to work it out

1
The square root of 1120 is the number that multiplied by itself gives 1120.
2
1120 is between the perfect squares 33² = 1089 and 34² = 1156, so its square root is between 33 and 34.
3
Pull out the biggest square factor: 1120 = 16 × 70, so
$\sqrt{1120} = \sqrt{16 \times 70} = 4\sqrt{70}$
4
A calculator, or long division of digits, gives
$\sqrt{1120} \approx 33.466401$

LaTeX source of the formulas on this page

\[ \sqrt{1120} = 4\sqrt{70} \approx 33.466401 \]
\[ \sqrt{1120} = \sqrt{16 \times 70} = 4\sqrt{70} \]
\[ \sqrt{1120} \approx 33.466401 \]

What is the square root of 1120?

The square root of 1120 is 33.466401 (rounded to 6 decimal places). In simplest radical form it is 4√70.

Is 1120 a perfect square?

No. It lies between 33² = 1089 and 34² = 1156.

What is 1120 squared?

1120 × 1120 = 1254400.

What is the square root of 1120 rounded to 2 decimals?

33.47.