5−√3, Classify the given number as rational or irrational.
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We know that √3 is an irrational number
Here 5 is a rational number and √3 is an irrational number; thus by property, subtraction of irrational number from a rational number resulting an irrational number, we can conclude that (5 - √3) is an irrational number
We can also prove it using contradiction.
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Given 5 - √3
Here ,
5 is a rational number.
√3 is an irrational.
Therefore ,
5 - √3 is an irrational.
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