Show that 3√2 is an irrational
Answers
Answer:
3+√2 = a/b ,where a and b are integers and b is not equal to zero .. therefore, √2 = (3b - a)/b is rational as a, b and 3 are integers.. ... So, it concludes that 3+√2 is irrational..
explanation:
prove :
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,
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
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
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
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) /btherefore, √2 = (3b - a)/b is rational as a, b and 3 are integers..
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) /btherefore, √2 = (3b - a)/b is rational as a, b and 3 are integers..It means that √2 is rational....
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) /btherefore, √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..
Answer:
3√2
=√2×9
=√18
the answer is √18