What is the Square Root of 408?
The square root of 408 (√408) is 20.19901. 408 is an irrational square root rounded to 20.19901.
Exact Answer
√408 = 20.19901
Principal Root (√408)
20.19901
Real Roots
±20.19901
Perfect Square?
No (Irrational)
Exponential Form
408^(1/2)
Step-by-Step Solution: √408 = 20.19901
Step 1
Definition of Square Root
The square root of 408 is the number y such that y × y = 408.
√408 = 20.19901
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√408) | 20.19901 |
| Real Roots | ±20.19901 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 408^(1/2) |
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Frequently Asked Questions
Is 408 a perfect square?
No, 408 is not a perfect square; its decimal approximation is 20.19901.