Question

show that √(3+√(5 irrational​

Answer 1

Answer:

Let root 3 + roof 5 be rational

root 3 + root 5 = P/q

(root 3 + root 5) sq=(P/q)sq

3 +5 + 2 root 15 = P sq/q Sq

root I5 = (Psq / qsq -7) 1/2

RHS is rational as all are integers

⇒ LHS is also rational but root 15 is irrational

⇒ root3 + root 5 is irrational

Answer 2

we know that the sum of two irrational is always irrational. by basic concepts

so we can say root under 3 plus root under 5 is irrational