Question

Show that √2+√3 is an irrational.

Answer 1

$\bf\large\underline\blue{Answer:-}$

Let √2 + √3 = (a/b) is a rational no. So,5 + 2√6 = (a2/b2) a rational no. Since, 2√6 is an irrational no. and (a2/b2) – 5 is a rational no.

Answer 2

Assume that √2+√3 is an rational no.

as we know tht rational should be in the form of p/q

√2+√3 =p/q

√2-p/q=√3

hence,

2q /p are rational but √3 is an irrational

this leads to contradiction.

hence, √2+√3 is an irrational no.

hope it helps❤