What is the Square Root of 564?
The square root of 564 (√564) is 23.748684. 564 is an irrational square root rounded to 23.748684.
Exact Answer
√564 = 23.748684
Principal Root (√564)
23.748684
Real Roots
±23.748684
Perfect Square?
No (Irrational)
Exponential Form
564^(1/2)
Step-by-Step Solution: √564 = 23.748684
Step 1
Definition of Square Root
The square root of 564 is the number y such that y × y = 564.
√564 = 23.748684
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√564) | 23.748684 |
| Real Roots | ±23.748684 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 564^(1/2) |
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Frequently Asked Questions
Is 564 a perfect square?
No, 564 is not a perfect square; its decimal approximation is 23.748684.