Question

prove root 3 + root 5 is irrational​

Answer 1

Step-by-step explanation:

we know that any number that cannot be expressed in p/q form is called irrational number,

Root 5 = 2.23606...... And extends infinitely without digit repetition(particular periodicity) . We cannot write it in the form of p/q.

Hence it is irrational

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Answer 2

Answer:

we assume that

$3 + \sqrt{5} is \: rational \: no$

$3 + \sqrt{5} = \frac{p}{q}$

$\sqrt{5} = \frac{p}{q} - 3 - - - - - - - 1$

RHS is rational number and

LHS is irrational number

which is contradiction.

Our assumption is wrong

$3 + \sqrt{5} is \: an \: irrational \: numbe$

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