Square root of 724
The square root of 724 is 26.907248 (rounded to 6 decimal places). In simplest radical form it is 2ā181.
Square root of 724
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 724 is the number that multiplied by itself gives 724.
- 2
724 is between the perfect squares 26Ā² = 676 and 27Ā² = 729, so its square root is between 26 and 27.
- 3
Pull out the biggest square factor: 724 = 4 Ć 181, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{724} = 2\sqrt{181} \approx 26.907248 \]
\[ \sqrt{724} = \sqrt{4 \times 181} = 2\sqrt{181} \]
\[ \sqrt{724} \approx 26.907248 \]Squares around 724
| Number | Squared |
|---|---|
| 25 | 625 |
| 26 | 676 |
| 27 | 729 |
| 28 | 784 |
Questions
What is the square root of 724?
The square root of 724 is 26.907248 (rounded to 6 decimal places). In simplest radical form it is 2ā181.
Is 724 a perfect square?
No. It lies between 26Ā² = 676 and 27Ā² = 729.
What is 724 squared?
724 Ć 724 = 524176.
What is the square root of 724 rounded to 2 decimals?
26.91.