What is the Square Root of 7?
The square root of 7 (√7) is 2.645751. 7 is an irrational square root rounded to 2.645751.
Exact Answer
√7 = 2.645751
Principal Root (√7)
2.645751
Real Roots
±2.645751
Perfect Square?
No (Irrational)
Exponential Form
7^(1/2)
Step-by-Step Solution: √7 = 2.645751
Step 1
Definition of Square Root
The square root of 7 is the number y such that y × y = 7.
√7 = 2.645751
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Principal Root (√7) | 2.645751 |
| Real Roots | ±2.645751 |
| Perfect Square? | No (Irrational) |
| Exponential Form | 7^(1/2) |
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Frequently Asked Questions
Is 7 a perfect square?
No, 7 is not a perfect square; its decimal approximation is 2.645751.