Is the square root of 7 irrational?
Understand the Problem
The question is asking whether the square root of 7 is an irrational number. An irrational number is one that cannot be expressed as a fraction of two integers. We will determine if this is true based on the properties of square roots.
Answer
The square root of 7 is an irrational number.
The final answer is the square root of 7 is an irrational number
Answer for screen readers
The final answer is the square root of 7 is an irrational number
More Information
An irrational number cannot be expressed as a simple fraction of two integers. The square root of 7 provides a non-terminating, non-repeating decimal, confirming it as an irrational number.
Tips
A common mistake is assuming non-perfect squares can be rational. Always verify by checking if the decimal representation is non-terminating and non-repeating.
Sources
- Prove that Root 7 is Irrational Number - Cuemath - cuemath.com
- Prove that sqrt {7} is an irrational number. - Toppr - toppr.com
- Is the square root of 7 a rational number? - Study.com - homework.study.com
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