What is the Square Root of 45?
The square root of 45 (√45) is 6.708204. 45 is an irrational square root rounded to 6.708204.
Exact Answer
√45 = 6.708204
Principal Root (√45)
6.708204
Real Roots
±6.708204
Perfect Square?
No (Irrational)
Exponential Form
45^(1/2)
Step-by-Step Solution: √45 = 6.708204
Step 1
Definition of Square Root
The square root of 45 is the number y such that y × y = 45.
√45 = 6.708204
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√45) | 6.708204 |
| Real Roots | ±6.708204 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 45^(1/2) |
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Frequently Asked Questions
Is 45 a perfect square?
No, 45 is not a perfect square; its decimal approximation is 6.708204.