Show that root p + root q is irrational, where p &q are primes.

1.	Show that root p + root q is irrational, where p &q are primes.
Answer» Rootp+rootq=a÷bSquaringP+Q+2rootPQ=a÷b whole squareRootPQ=1/2((a/b)2-P-Q)Now p and q are prime positive numbers so RootP and Root Q is irrationalAlso RootPQIrrational=rationalSo contridiction

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