Question

show that root 3 - root 2 is irrational
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Answer 1

Answer:

√3-√2

Step-by-step explanation:

Let √3-√2 be a rational number. A rational number can be written in the form of p/q. p,q are integers then (5q²-p²)/q² is a rational number. ... Therefore,√3-√2 is an irrational number.

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Answer 2

Answer:

√3 is actually 1.73.... which goes on till infinity and we know that numbers whose value is non-terminating and non-recurring are considered to be irrational numbers. So, √3's value is irrational and so √2 is 1.41.... is also irrational and we know that irrational number when subtracted with irrational number gives irrational number. Therefore, √3-√2 is an irrational number.