Questioh ll7. Given that 2 is irrational, prove that (5+3/2) is an irr

1.	Questioh ll7. Given that 2 is irrational, prove that (5+3/2) is an irrational number.1 1 m find the leneth of the altitude.
Answer» Given:root2 is irrationalNow,let us assume that 5 +3root2 is rationalSo,5+3root2 = a/b3root2 = a/b-5 =a-5b/bRoot2 = a-5b/3b But we know that root2 is irrationalSo, our assumption was wrong.Hence 5+3root2 is irrational. Hence proved

Questioh ll7. Given that 2 is irrational, prove that (5+3/2) is an irrational number.1 1 m find the leneth of the altitude.

Answer»

Given:root2 is irrationalNow,let us assume that 5 +3root2 is rationalSo,5+3root2 = a/b3root2 = a/b-5 =a-5b/bRoot2 = a-5b/3b

But we know that root2 is irrationalSo, our assumption was wrong.Hence 5+3root2 is irrational.

Hence proved