Square root of 340

The square root of 340 is 18.439089 (rounded to 6 decimal places). In simplest radical form it is 2√85.

Square root of 340

Pick any whole number from 1 to 10,000.

\sqrt{340} = 2\sqrt{85} \approx 18.439089

How to work it out

1
The square root of 340 is the number that multiplied by itself gives 340.
2
340 is between the perfect squares 18² = 324 and 19² = 361, so its square root is between 18 and 19.
3
Pull out the biggest square factor: 340 = 4 × 85, so
$\sqrt{340} = \sqrt{4 \times 85} = 2\sqrt{85}$
4
A calculator, or long division of digits, gives
$\sqrt{340} \approx 18.439089$

LaTeX source of the formulas on this page

\[ \sqrt{340} = 2\sqrt{85} \approx 18.439089 \]
\[ \sqrt{340} = \sqrt{4 \times 85} = 2\sqrt{85} \]
\[ \sqrt{340} \approx 18.439089 \]

What is the square root of 340?

The square root of 340 is 18.439089 (rounded to 6 decimal places). In simplest radical form it is 2√85.

Is 340 a perfect square?

No. It lies between 18² = 324 and 19² = 361.

What is 340 squared?

340 × 340 = 115600.

What is the square root of 340 rounded to 2 decimals?

18.44.