Prove that 3√2 is irrational no.
Answers
Answered by
1
Answer:
Answer
4.0/5
575
Ramneetkor
Ambitious
36 answers
5K people helped
prove :
Let 3+√2 is an rational number.. such that
3+√2 = a/b ,where a and b are integers and b is not equal to zero ..
therefore,
3 + √2 = a/b
√2 = a/b -3
√2 = (3b-a) /b
therefore, √2 = (3b - a)/b is rational as a, b and 3 are integers..
It means that √2 is rational....
But this contradicts the fact that √2 is irrational..
So, it concludes that 3+√2 is irrational..
hence proved..
l hope it helped u..
thankyou
keep following...
Step-by-step explanation:
Similar questions
Physics,
1 month ago
Chemistry,
1 month ago
History,
2 months ago
English,
2 months ago
Business Studies,
8 months ago