prove that 15 + 17 root 3 is an irrational number
Answers
Answered by
1
we know that any rational no. it is in the form of p/q ,where pand q are co-prime no.
15+17√2=p/q
17√2=p/q -15
√2=p-15q/17q ...........(I)
here, p and q are some integers
therefore, p-15q/17q is a rational no.
but, √2 is irrational no.
it contradicts our supposition
=> 6+√2 is irrational .............(hence proved)
Read more on Brainly.in - https://brainly.in/question/2202482#readmore
Similar questions