Square root of 1160

The square root of 1160 is 34.058773 (rounded to 6 decimal places). In simplest radical form it is 2√290.

Square root of 1160

Pick any whole number from 1 to 10,000.

\sqrt{1160} = 2\sqrt{290} \approx 34.058773

How to work it out

1
The square root of 1160 is the number that multiplied by itself gives 1160.
2
1160 is between the perfect squares 34² = 1156 and 35² = 1225, so its square root is between 34 and 35.
3
Pull out the biggest square factor: 1160 = 4 × 290, so
$\sqrt{1160} = \sqrt{4 \times 290} = 2\sqrt{290}$
4
A calculator, or long division of digits, gives
$\sqrt{1160} \approx 34.058773$

LaTeX source of the formulas on this page

\[ \sqrt{1160} = 2\sqrt{290} \approx 34.058773 \]
\[ \sqrt{1160} = \sqrt{4 \times 290} = 2\sqrt{290} \]
\[ \sqrt{1160} \approx 34.058773 \]

What is the square root of 1160?

The square root of 1160 is 34.058773 (rounded to 6 decimal places). In simplest radical form it is 2√290.

Is 1160 a perfect square?

No. It lies between 34² = 1156 and 35² = 1225.

What is 1160 squared?

1160 × 1160 = 1345600.

What is the square root of 1160 rounded to 2 decimals?

34.06.