cbse class 10 th..pls answer fast..
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Let, us assume that 2+5√3 is a rational number.
Therefore, 2+5√3=a/b (where a and b are co prime)
5√3=a/b-2
5√3=a-2b/b
√3=a-2b/5b
Therefore, a-2b/5b is in the form of a/b which is rational number.
But,this is contradicts the fact is that √3 is irrational number.
Therefore, our assumption is wrong and 2+5√3 is an irrational number.
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