Question

prove
that
irrational
is​

Answer 1

Answer:

let √2 + √3 this number be a rational.

where it is p/q form. q is not equal to 0 and it is integer.

√2 + √3 = p/q

by squaring both sides

( √2 + √3 ) ^2 = p^2 /q^2

2 + 2√6 + 3 = p^2 /q^2

5 + 2 √6 = p^2 /q^2

p^2/q^2 will be positive and an integer.

2√6 = p^2 /q^2 - 5

here left side has irrational no. and right has has rational no.

that's why it is proved that√2 + √3 is and irrational no.