Question

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

Answer 1

Answer:

Step-by-step explanation:

Let us assume that ( 7 + 3√2 ) is a rational number

so,

Since,

(p), (q), (7), (3) are integers and q ≠ 0 so,

p - 7q/3q is a rational number

Therefore, √2 is also a rational number which is not possible

√2 is an irrational number

∴ This contradiction arise due to our wrong assumption.

Hence,

7+3√2 cannot be a rational number,

∵ it is an irrational number.