Question

prove that 5+4 root 2 is irrational number​

Answer 1

Step-by-step explanation:

4+5√2=p/ q

√2=p/9q

and hence the √2 is not a rational this give us contradiction that

it is irrational

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Answer 2

Answer:

Step-by-step explanation:

let 5+4$\sqrt{2\\}$ is rational

then, 5+4 $\sqrt{2\\}$ =p/q

4 $\sqrt{2}$ = p/q-5

4 $\sqrt{2}$= 6p/q/4

$\sqrt{2}$= 6p/4q

$\sqrt{2}$ is irrational ; 6p/4q is rational

Irrational not equal to rational

This contradiction our assumption

Therefore, 5+4root2 is irrational

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