What is the Square Root of 208?
The square root of 208 (√208) is 14.422205. 208 is an irrational square root rounded to 14.422205.
Exact Answer
√208 = 14.422205
Principal Root (√208)
14.422205
Real Roots
±14.422205
Perfect Square?
No (Irrational)
Exponential Form
208^(1/2)
Step-by-Step Solution: √208 = 14.422205
Step 1
Definition of Square Root
The square root of 208 is the number y such that y × y = 208.
√208 = 14.422205
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√208) | 14.422205 |
| Real Roots | ±14.422205 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 208^(1/2) |
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Frequently Asked Questions
Is 208 a perfect square?
No, 208 is not a perfect square; its decimal approximation is 14.422205.