Square root of 75
The square root of 75 is 8.660254 (rounded to 6 decimal places). In simplest radical form it is 5ā3.
Square root of 75
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 75 is the number that multiplied by itself gives 75.
- 2
75 is between the perfect squares 8Ā² = 64 and 9Ā² = 81, so its square root is between 8 and 9.
- 3
Pull out the biggest square factor: 75 = 25 Ć 3, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{75} = 5\sqrt{3} \approx 8.660254 \]
\[ \sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3} \]
\[ \sqrt{75} \approx 8.660254 \]Squares around 75
| Number | Squared |
|---|---|
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
Questions
What is the square root of 75?
The square root of 75 is 8.660254 (rounded to 6 decimal places). In simplest radical form it is 5ā3.
Is 75 a perfect square?
No. It lies between 8Ā² = 64 and 9Ā² = 81.
What is 75 squared?
75 Ć 75 = 5625.
What is the square root of 75 rounded to 2 decimals?
8.66.