Square root of 224
The square root of 224 is 14.96663 (rounded to 6 decimal places). In simplest radical form it is 4ā14.
Square root of 224
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 224 is the number that multiplied by itself gives 224.
- 2
224 is between the perfect squares 14Ā² = 196 and 15Ā² = 225, so its square root is between 14 and 15.
- 3
Pull out the biggest square factor: 224 = 16 Ć 14, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{224} = 4\sqrt{14} \approx 14.96663 \]
\[ \sqrt{224} = \sqrt{16 \times 14} = 4\sqrt{14} \]
\[ \sqrt{224} \approx 14.96663 \]Squares around 224
| Number | Squared |
|---|---|
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
Questions
What is the square root of 224?
The square root of 224 is 14.96663 (rounded to 6 decimal places). In simplest radical form it is 4ā14.
Is 224 a perfect square?
No. It lies between 14Ā² = 196 and 15Ā² = 225.
What is 224 squared?
224 Ć 224 = 50176.
What is the square root of 224 rounded to 2 decimals?
14.97.