Square root of 320
The square root of 320 is 17.888544 (rounded to 6 decimal places). In simplest radical form it is 8ā5.
Square root of 320
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 320 is the number that multiplied by itself gives 320.
- 2
320 is between the perfect squares 17Ā² = 289 and 18Ā² = 324, so its square root is between 17 and 18.
- 3
Pull out the biggest square factor: 320 = 64 Ć 5, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{320} = 8\sqrt{5} \approx 17.888544 \]
\[ \sqrt{320} = \sqrt{64 \times 5} = 8\sqrt{5} \]
\[ \sqrt{320} \approx 17.888544 \]Squares around 320
| Number | Squared |
|---|---|
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
| 19 | 361 |
Questions
What is the square root of 320?
The square root of 320 is 17.888544 (rounded to 6 decimal places). In simplest radical form it is 8ā5.
Is 320 a perfect square?
No. It lies between 17Ā² = 289 and 18Ā² = 324.
What is 320 squared?
320 Ć 320 = 102400.
What is the square root of 320 rounded to 2 decimals?
17.89.