Square root of 60
The square root of 60 is 7.745967 (rounded to 6 decimal places). In simplest radical form it is 2ā15.
Square root of 60
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 60 is the number that multiplied by itself gives 60.
- 2
60 is between the perfect squares 7Ā² = 49 and 8Ā² = 64, so its square root is between 7 and 8.
- 3
Pull out the biggest square factor: 60 = 4 Ć 15, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{60} = 2\sqrt{15} \approx 7.745967 \]
\[ \sqrt{60} = \sqrt{4 \times 15} = 2\sqrt{15} \]
\[ \sqrt{60} \approx 7.745967 \]Squares around 60
| Number | Squared |
|---|---|
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
Questions
What is the square root of 60?
The square root of 60 is 7.745967 (rounded to 6 decimal places). In simplest radical form it is 2ā15.
Is 60 a perfect square?
No. It lies between 7Ā² = 49 and 8Ā² = 64.
What is 60 squared?
60 Ć 60 = 3600.
What is the square root of 60 rounded to 2 decimals?
7.75.