What is the Square Root of 414?
The square root of 414 (√414) is 20.34699. 414 is an irrational square root rounded to 20.34699.
Exact Answer
√414 = 20.34699
Principal Root (√414)
20.34699
Real Roots
±20.34699
Perfect Square?
No (Irrational)
Exponential Form
414^(1/2)
Step-by-Step Solution: √414 = 20.34699
Step 1
Definition of Square Root
The square root of 414 is the number y such that y × y = 414.
√414 = 20.34699
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√414) | 20.34699 |
| Real Roots | ±20.34699 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 414^(1/2) |
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Frequently Asked Questions
Is 414 a perfect square?
No, 414 is not a perfect square; its decimal approximation is 20.34699.