Question

show that (4 - root3) is irrational.

plzz solve this..nd help me..

Answer 1

Let us assume that 4+ √3 is rational then it is in the form of p/q where p & q are coprimes and q is not equal to zero
4+ √3=p/q
√3=p/q-4
√3=p-4q/q
p-4q/q is a rational number but √3 is irrational this contradicts our supposition therefore our supposition is wrong
Hence 4+ √3 is irrational

Answer 2

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