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Operations on Rational and Irrational Numbers

What can you ...

Question

What can you say about the sum of a rational number and an irrational number?

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Solution

Sum of a rational number and an irrational number is an irrational number.
Example: 4 + $\sqrt{5}$ represents sum of rational and an irrational number where 4 is rational and $\sqrt{5}$ is irrational.

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Q. The sum of a rational and irrational number is always an irrational number.

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