Question

prove that 7+3√2 is an irrational number​

Answer 1

Step-by-step explanation:

let us assume 7+3√2 is an irrational number i.e it is a rational number

if 7+3√2 is a rational number then let 7+3√2 in p÷q form

√2 = p -7 -3

q

now in the above equation L H S (√2) is an irrational number whereas the R H S ( p -7-3) is rational number which is contradictory

thus , 4✓2 is not a rational number but it is an irrational number