Square root of 72
The square root of 72 is 8.485281 (rounded to 6 decimal places). In simplest radical form it is 6ā2.
Square root of 72
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 72 is the number that multiplied by itself gives 72.
- 2
72 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: 72 = 36 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{72} = 6\sqrt{2} \approx 8.485281 \]
\[ \sqrt{72} = \sqrt{36 \times 2} = 6\sqrt{2} \]
\[ \sqrt{72} \approx 8.485281 \]Squares around 72
| Number | Squared |
|---|---|
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
Questions
What is the square root of 72?
The square root of 72 is 8.485281 (rounded to 6 decimal places). In simplest radical form it is 6ā2.
Is 72 a perfect square?
No. It lies between 8Ā² = 64 and 9Ā² = 81.
What is 72 squared?
72 Ć 72 = 5184.
What is the square root of 72 rounded to 2 decimals?
8.49.