Square root of 4748
The square root of 4748 is 68.905733 (rounded to 6 decimal places). In simplest radical form it is 2ā1187.
Square root of 4748
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 4748 is the number that multiplied by itself gives 4748.
- 2
4748 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.
- 3
Pull out the biggest square factor: 4748 = 4 Ć 1187, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{4748} = 2\sqrt{1187} \approx 68.905733 \]
\[ \sqrt{4748} = \sqrt{4 \times 1187} = 2\sqrt{1187} \]
\[ \sqrt{4748} \approx 68.905733 \]Squares around 4748
| Number | Squared |
|---|---|
| 67 | 4489 |
| 68 | 4624 |
| 69 | 4761 |
| 70 | 4900 |
Questions
What is the square root of 4748?
The square root of 4748 is 68.905733 (rounded to 6 decimal places). In simplest radical form it is 2ā1187.
Is 4748 a perfect square?
No. It lies between 68² = 4624 and 69² = 4761.
What is 4748 squared?
4748 Ć 4748 = 22543504.
What is the square root of 4748 rounded to 2 decimals?
68.91.