Square root of 48
The square root of 48 is 6.928203 (rounded to 6 decimal places). In simplest radical form it is 4ā3.
Square root of 48
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 48 is the number that multiplied by itself gives 48.
- 2
48 is between the perfect squares 6Ā² = 36 and 7Ā² = 49, so its square root is between 6 and 7.
- 3
Pull out the biggest square factor: 48 = 16 Ć 3, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{48} = 4\sqrt{3} \approx 6.928203 \]
\[ \sqrt{48} = \sqrt{16 \times 3} = 4\sqrt{3} \]
\[ \sqrt{48} \approx 6.928203 \]Squares around 48
| Number | Squared |
|---|---|
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
Questions
What is the square root of 48?
The square root of 48 is 6.928203 (rounded to 6 decimal places). In simplest radical form it is 4ā3.
Is 48 a perfect square?
No. It lies between 6Ā² = 36 and 7Ā² = 49.
What is 48 squared?
48 Ć 48 = 2304.
What is the square root of 48 rounded to 2 decimals?
6.93.