What is the Square Root of 565?
The square root of 565 (√565) is 23.769729. 565 is an irrational square root rounded to 23.769729.
Exact Answer
√565 = 23.769729
Principal Root (√565)
23.769729
Real Roots
±23.769729
Perfect Square?
No (Irrational)
Exponential Form
565^(1/2)
Step-by-Step Solution: √565 = 23.769729
Step 1
Definition of Square Root
The square root of 565 is the number y such that y × y = 565.
√565 = 23.769729
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√565) | 23.769729 |
| Real Roots | ±23.769729 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 565^(1/2) |
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Frequently Asked Questions
Is 565 a perfect square?
No, 565 is not a perfect square; its decimal approximation is 23.769729.