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Exact Answer
√409 = 20.223748
Principal Root (√409)
20.223748
Real Roots
±20.223748
Perfect Square?
No (Irrational)
Exponential Form
409^(1/2)
√ Square Root of: OR Power (xy): ^

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 / FormatValue
Principal Root (√409)20.223748
Real Roots±20.223748
Perfect Square?No (Irrational)
Exponential Form409^(1/2)

Frequently Asked Questions

Is 409 a perfect square?

No, 409 is not a perfect square; its decimal approximation is 20.223748.