prove that 3 + root2 is irrational.
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Let us assume that 3+√2 is a rational number.
Hence, 3+√2 can be written in the form of p/q where HCF(p,q)=1
3+√2=p/q
√2=(p/q)+3
Hence, √2 is rational number.
But, these statement makes the contradiction arises.
Hence, 3+√2 is irrational
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Hence, 3+√2 can be written in the form of p/q where HCF(p,q)=1
3+√2=p/q
√2=(p/q)+3
Hence, √2 is rational number.
But, these statement makes the contradiction arises.
Hence, 3+√2 is irrational
Hope this is helpful
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