1.

Prove that 5+root2 is irrational ​

Answer»

QUESTION:-

prove that 5+√2 is IRRATIONAL™

SOLUTION:-

Let 5+√2= Rational

=>5+√2= \frac{a}{b} [where a & b are co-prime INTEGERS they are not [equal to] irrational]

=>5+√2= \frac{a}{b}

=>√2=\frac{a}{b}-5

CROSS MULTIPLY RHS↓

√2=\frac{a}{-5b}

√2=\frac{a}{-5b}

=>LHS≠RHS[as Irrational≠Rational]

Creates a CONTRADICTION Proving 5+√2 is IRRATIONAL✓

\mathcal{BE \: BRAINLY}


Discussion

No Comment Found

Related InterviewSolutions