Square root of 363
The square root of 363 is 19.052559 (rounded to 6 decimal places). In simplest radical form it is 11ā3.
Square root of 363
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 363 is the number that multiplied by itself gives 363.
- 2
363 is between the perfect squares 19² = 361 and 20² = 400, so its square root is between 19 and 20.
- 3
Pull out the biggest square factor: 363 = 121 Ć 3, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{363} = 11\sqrt{3} \approx 19.052559 \]
\[ \sqrt{363} = \sqrt{121 \times 3} = 11\sqrt{3} \]
\[ \sqrt{363} \approx 19.052559 \]Squares around 363
| Number | Squared |
|---|---|
| 18 | 324 |
| 19 | 361 |
| 20 | 400 |
| 21 | 441 |
Questions
What is the square root of 363?
The square root of 363 is 19.052559 (rounded to 6 decimal places). In simplest radical form it is 11ā3.
Is 363 a perfect square?
No. It lies between 19² = 361 and 20² = 400.
What is 363 squared?
363 Ć 363 = 131769.
What is the square root of 363 rounded to 2 decimals?
19.05.