The square root of 72 is 8.48528137 (rounded to 8 decimal places).
The square root of 72 is 8.48528137 (rounded to 8 decimal places).
It is not a perfect square, so the root is irrational. In simplest radical form, √72 = 6√2, because 72 = 36 × 2.
72 lies between the perfect squares 64 (8²) and 81 (9²), so √72 is between 8 and 9. Our answer 8.48528137 fits that range.
You can check it by squaring the result: 8.48528137² ≈ 72.
| √72 | = 8.48528137 |
| 8.48528137² | = 72 |
| ∛72 | = 4.160168 |
| Number | Square root | Note |
|---|---|---|
| 36 | 6 | perfect square |
| 40 | 6.324555 | |
| 49 | 7 | perfect square |
| 50 | 7.071068 | |
| 64 | 8 | perfect square |
| 72 | 8.485281 | this page |
| 81 | 9 | perfect square |
| 100 | 10 | perfect square |
The square root of 72 is 8.48528137 (rounded to 8 decimal places).
No. The nearest perfect squares are 64 and 81.
Irrational. Its decimal never ends or repeats.
The cube root of 72 is about 4.160168.
Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.