Question

Prove X is irrational if . X^2=0.256

Answer 1

Answer:

Let x be a real number. We want to prove by contradiction that if  is irrational, then x is irrational.

Proof: Assume the negation of this statement:  is irrational and x is rational.

(Keep in mind that the negation of an implication,  is ).

But if x is rational, then x can be written as  where b and c are integers.

Then  which is also rational.

This contradicts the statement that  is irrational.

Thus, if if  is irrational, then x is irrational.

Hope it helps you

Pls mark me brainliest