Square root of 728
The square root of 728 is 26.981475 (rounded to 6 decimal places). In simplest radical form it is 2ā182.
Square root of 728
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 728 is the number that multiplied by itself gives 728.
- 2
728 is between the perfect squares 26² = 676 and 27² = 729, so its square root is between 26 and 27.
- 3
Pull out the biggest square factor: 728 = 4 Ć 182, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{728} = 2\sqrt{182} \approx 26.981475 \]
\[ \sqrt{728} = \sqrt{4 \times 182} = 2\sqrt{182} \]
\[ \sqrt{728} \approx 26.981475 \]Squares around 728
| Number | Squared |
|---|---|
| 25 | 625 |
| 26 | 676 |
| 27 | 729 |
| 28 | 784 |
Questions
What is the square root of 728?
The square root of 728 is 26.981475 (rounded to 6 decimal places). In simplest radical form it is 2ā182.
Is 728 a perfect square?
No. It lies between 26² = 676 and 27² = 729.
What is 728 squared?
728 Ć 728 = 529984.
What is the square root of 728 rounded to 2 decimals?
26.98.