prove that 3 - root 2 is irrational
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ANSWER:
GIVEN:
TO PROVE:
SOLUTION:
Let 3-√2 be a rational number which can be expressed in the form of p/q where p and q have no other common factor than 1.
=> 3-√2 = p/q
=> 3-p/q = √2
=> (3q-p)/q = √2
Here:
NOTE:
Verified answer
Step-by-step explanation:
3√2is a rational number but this contradicts that √2is irrational number therefore our assumpition hense 3√2 is irrational number