Square root of 772
The square root of 772 is 27.784888 (rounded to 6 decimal places). In simplest radical form it is 2ā193.
Square root of 772
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 772 is the number that multiplied by itself gives 772.
- 2
772 is between the perfect squares 27Ā² = 729 and 28Ā² = 784, so its square root is between 27 and 28.
- 3
Pull out the biggest square factor: 772 = 4 Ć 193, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{772} = 2\sqrt{193} \approx 27.784888 \]
\[ \sqrt{772} = \sqrt{4 \times 193} = 2\sqrt{193} \]
\[ \sqrt{772} \approx 27.784888 \]Squares around 772
| Number | Squared |
|---|---|
| 26 | 676 |
| 27 | 729 |
| 28 | 784 |
| 29 | 841 |
Questions
What is the square root of 772?
The square root of 772 is 27.784888 (rounded to 6 decimal places). In simplest radical form it is 2ā193.
Is 772 a perfect square?
No. It lies between 27Ā² = 729 and 28Ā² = 784.
What is 772 squared?
772 Ć 772 = 595984.
What is the square root of 772 rounded to 2 decimals?
27.78.