What is the Square Root of 75?
The square root of 75 (√75) is 8.660254. 75 is an irrational square root rounded to 8.660254.
Exact Answer
√75 = 8.660254
Principal Root (√75)
8.660254
Real Roots
±8.660254
Perfect Square?
No (Irrational)
Exponential Form
75^(1/2)
Step-by-Step Solution: √75 = 8.660254
Step 1
Definition of Square Root
The square root of 75 is the number y such that y × y = 75.
√75 = 8.660254
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√75) | 8.660254 |
| Real Roots | ±8.660254 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 75^(1/2) |
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Frequently Asked Questions
Is 75 a perfect square?
No, 75 is not a perfect square; its decimal approximation is 8.660254.