Square root of 7742
The square root of 7742 is 87.988636 (rounded to 6 decimal places). In simplest radical form it is 7ā158.
Square root of 7742
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 7742 is the number that multiplied by itself gives 7742.
- 2
7742 is between the perfect squares 87² = 7569 and 88² = 7744, so its square root is between 87 and 88.
- 3
Pull out the biggest square factor: 7742 = 49 Ć 158, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{7742} = 7\sqrt{158} \approx 87.988636 \]
\[ \sqrt{7742} = \sqrt{49 \times 158} = 7\sqrt{158} \]
\[ \sqrt{7742} \approx 87.988636 \]Squares around 7742
| Number | Squared |
|---|---|
| 86 | 7396 |
| 87 | 7569 |
| 88 | 7744 |
| 89 | 7921 |
Questions
What is the square root of 7742?
The square root of 7742 is 87.988636 (rounded to 6 decimal places). In simplest radical form it is 7ā158.
Is 7742 a perfect square?
No. It lies between 87² = 7569 and 88² = 7744.
What is 7742 squared?
7742 Ć 7742 = 59938564.
What is the square root of 7742 rounded to 2 decimals?
87.99.