Square root of 200
The square root of 200 is 14.142136 (rounded to 6 decimal places). In simplest radical form it is 10ā2.
Square root of 200
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 200 is the number that multiplied by itself gives 200.
- 2
200 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: 200 = 100 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{200} = 10\sqrt{2} \approx 14.142136 \]
\[ \sqrt{200} = \sqrt{100 \times 2} = 10\sqrt{2} \]
\[ \sqrt{200} \approx 14.142136 \]Squares around 200
| Number | Squared |
|---|---|
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
| 16 | 256 |
Questions
What is the square root of 200?
The square root of 200 is 14.142136 (rounded to 6 decimal places). In simplest radical form it is 10ā2.
Is 200 a perfect square?
No. It lies between 14Ā² = 196 and 15Ā² = 225.
What is 200 squared?
200 Ć 200 = 40000.
What is the square root of 200 rounded to 2 decimals?
14.14.