. Prove that 7-2√3 is an irrational number.

1.	. Prove that 7-2√3 is an irrational number.
Answer» Let assume that 7-2root3 be rational and rational numbers are in the form of p/q form.We know that root 3 is irrational and not p/q form. It contradicts the statement that it is irrational as it is p/q form.Subtraction and multiplication of irrational number form irrational number so\xa07-2root3 is irrational.

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