1.

Trove that the givenirrationals.numbers que15+1753

Answer»

let 15+17root 3 be a rational no.Then 15 is rational and 15+17root 3 is rational(15+17root 3-15) is also rational because difference of two rationals is rationaltherefore 17root 3 is rationalNOW,17root 3 is rational and 1/17 is rational(17root 3×1/17) is also rational because product of two rationals is rationalit shows that root 3 is rational So,our assumption is wrong Hence,(15+17root3) is irrational



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