Square root of 5872
The square root of 5872 is 76.628976 (rounded to 6 decimal places). In simplest radical form it is 4ā367.
Square root of 5872
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 5872 is the number that multiplied by itself gives 5872.
- 2
5872 is between the perfect squares 76Ā² = 5776 and 77Ā² = 5929, so its square root is between 76 and 77.
- 3
Pull out the biggest square factor: 5872 = 16 Ć 367, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{5872} = 4\sqrt{367} \approx 76.628976 \]
\[ \sqrt{5872} = \sqrt{16 \times 367} = 4\sqrt{367} \]
\[ \sqrt{5872} \approx 76.628976 \]Squares around 5872
| Number | Squared |
|---|---|
| 75 | 5625 |
| 76 | 5776 |
| 77 | 5929 |
| 78 | 6084 |
Questions
What is the square root of 5872?
The square root of 5872 is 76.628976 (rounded to 6 decimal places). In simplest radical form it is 4ā367.
Is 5872 a perfect square?
No. It lies between 76Ā² = 5776 and 77Ā² = 5929.
What is 5872 squared?
5872 Ć 5872 = 34480384.
What is the square root of 5872 rounded to 2 decimals?
76.63.