Square root of 540
The square root of 540 is 23.2379 (rounded to 6 decimal places). In simplest radical form it is 6ā15.
Square root of 540
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 540 is the number that multiplied by itself gives 540.
- 2
540 is between the perfect squares 23Ā² = 529 and 24Ā² = 576, so its square root is between 23 and 24.
- 3
Pull out the biggest square factor: 540 = 36 Ć 15, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{540} = 6\sqrt{15} \approx 23.2379 \]
\[ \sqrt{540} = \sqrt{36 \times 15} = 6\sqrt{15} \]
\[ \sqrt{540} \approx 23.2379 \]Squares around 540
| Number | Squared |
|---|---|
| 22 | 484 |
| 23 | 529 |
| 24 | 576 |
| 25 | 625 |
Questions
What is the square root of 540?
The square root of 540 is 23.2379 (rounded to 6 decimal places). In simplest radical form it is 6ā15.
Is 540 a perfect square?
No. It lies between 23Ā² = 529 and 24Ā² = 576.
What is 540 squared?
540 Ć 540 = 291600.
What is the square root of 540 rounded to 2 decimals?
23.24.