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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.

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