Question

give that under root 2 is irrational prove that 3 + 5 under root 2 is irrational.​

Answer 1

Proof: As 5 + 3√2 is rational. (Assumed) They must be in the form of p/q where q≠0, and p & q are co prime. And, Rational ≠ Irrational.

Answer 2

Step-by-step explanation:

$\begin{tabular}{c | c | c }</p><p> 2 & 8\\</p><p>\cline{1 - 2}</p><p> 2 & 4\\</p><p>\cline{1 - 2}</p><p> 2 & 2\\</p><p>\cline{1 - 2}</p><p> 2 & 1</p><p>$

\begin{tabular}{c | c | c }

2 & 8\\

\cline{1 - 2}

2 & 4\\

\cline{1 - 2}

2 & 2\\

\cline{1 - 2}

2 & 1

\end{tabular}