What is the Square Root of 409?
The square root of 409 (√409) is 20.223748. 409 is an irrational square root rounded to 20.223748.
Exact Answer
√409 = 20.223748
Principal Root (√409)
20.223748
Real Roots
±20.223748
Perfect Square?
No (Irrational)
Exponential Form
409^(1/2)
Step-by-Step Solution: √409 = 20.223748
Step 1
Definition of Square Root
The square root of 409 is the number y such that y × y = 409.
√409 = 20.223748
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√409) | 20.223748 |
| Real Roots | ±20.223748 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 409^(1/2) |
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Frequently Asked Questions
Is 409 a perfect square?
No, 409 is not a perfect square; its decimal approximation is 20.223748.