prove this Q 17 Prove that 3+32 is irrational - Maths - Real Numbers

Question

prove this
Q 17 Prove that 3 + 3 2 is irrational

Brijendra Pal · Accepted Answer

Hi, Let 3+32 is rational number so it can be represented as pq where p , q are integers with q≠0 3+32= pqsquare 3+34+632= pq632= pq-15432= p6q-152432= 4p-1524qNow RHS, 4p-15 and 24 q are integral number so RHS is rational and LHS is irrational so our assumption is wrong and hence 3+32 is irrational number

prove this Q.17. Prove that 3 + 3 2 is irrational.

prove this
Q.17. Prove that $\sqrt{3} + \frac{3}{\sqrt{2}}$ is irrational.