Square root of 1728
The square root of 1728 is 41.569219 (rounded to 6 decimal places). In simplest radical form it is 24ā3.
Square root of 1728
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 1728 is the number that multiplied by itself gives 1728.
- 2
1728 is between the perfect squares 41Ā² = 1681 and 42Ā² = 1764, so its square root is between 41 and 42.
- 3
Pull out the biggest square factor: 1728 = 576 Ć 3, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{1728} = 24\sqrt{3} \approx 41.569219 \]
\[ \sqrt{1728} = \sqrt{576 \times 3} = 24\sqrt{3} \]
\[ \sqrt{1728} \approx 41.569219 \]Squares around 1728
| Number | Squared |
|---|---|
| 40 | 1600 |
| 41 | 1681 |
| 42 | 1764 |
| 43 | 1849 |
Questions
What is the square root of 1728?
The square root of 1728 is 41.569219 (rounded to 6 decimal places). In simplest radical form it is 24ā3.
Is 1728 a perfect square?
No. It lies between 41Ā² = 1681 and 42Ā² = 1764.
What is 1728 squared?
1728 Ć 1728 = 2985984.
What is the square root of 1728 rounded to 2 decimals?
41.57.