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Exact Answer
√564 = 23.748684
Principal Root (√564)
23.748684
Real Roots
±23.748684
Perfect Square?
No (Irrational)
Exponential Form
564^(1/2)
√ Square Root of: OR Power (xy): ^

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 / FormatValue
Principal Root (√564)23.748684
Real Roots±23.748684
Perfect Square?No (Irrational)
Exponential Form564^(1/2)

Frequently Asked Questions

Is 564 a perfect square?

No, 564 is not a perfect square; its decimal approximation is 23.748684.