Square root of 850

The square root of 850 is 29.154759 (rounded to 6 decimal places). In simplest radical form it is 5√34.

Square root of 850

Pick any whole number from 1 to 10,000.

\sqrt{850} = 5\sqrt{34} \approx 29.154759

How to work it out

1
The square root of 850 is the number that multiplied by itself gives 850.
2
850 is between the perfect squares 29² = 841 and 30² = 900, so its square root is between 29 and 30.
3
Pull out the biggest square factor: 850 = 25 × 34, so
$\sqrt{850} = \sqrt{25 \times 34} = 5\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{850} \approx 29.154759$

LaTeX source of the formulas on this page

\[ \sqrt{850} = 5\sqrt{34} \approx 29.154759 \]
\[ \sqrt{850} = \sqrt{25 \times 34} = 5\sqrt{34} \]
\[ \sqrt{850} \approx 29.154759 \]

What is the square root of 850?

The square root of 850 is 29.154759 (rounded to 6 decimal places). In simplest radical form it is 5√34.

Is 850 a perfect square?

No. It lies between 29² = 841 and 30² = 900.

What is 850 squared?

850 × 850 = 722500.

What is the square root of 850 rounded to 2 decimals?

29.15.