Question

prove that 15 + 17 root 3 is an irrational number​

Answer 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)

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