Square root of 5724
The square root of 5724 is 75.657121 (rounded to 6 decimal places). In simplest radical form it is 6ā159.
Square root of 5724
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 5724 is the number that multiplied by itself gives 5724.
- 2
5724 is between the perfect squares 75Ā² = 5625 and 76Ā² = 5776, so its square root is between 75 and 76.
- 3
Pull out the biggest square factor: 5724 = 36 Ć 159, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{5724} = 6\sqrt{159} \approx 75.657121 \]
\[ \sqrt{5724} = \sqrt{36 \times 159} = 6\sqrt{159} \]
\[ \sqrt{5724} \approx 75.657121 \]Squares around 5724
| Number | Squared |
|---|---|
| 74 | 5476 |
| 75 | 5625 |
| 76 | 5776 |
| 77 | 5929 |
Questions
What is the square root of 5724?
The square root of 5724 is 75.657121 (rounded to 6 decimal places). In simplest radical form it is 6ā159.
Is 5724 a perfect square?
No. It lies between 75Ā² = 5625 and 76Ā² = 5776.
What is 5724 squared?
5724 Ć 5724 = 32764176.
What is the square root of 5724 rounded to 2 decimals?
75.66.