Question

2+root3+root5 is a rational or irrational​

Answer 1

Answer:

it is an irrational no.

Step-by-step explanation:

BECAUSE it cant be represented on the no. line

Answer 2

Answer:

Irrational

Step-by-step explanation:

let us assume that

$2+ \sqrt{3} + \sqrt{5} \: be \: rational \: no$

$2 + \sqrt{3} + \sqrt{5} = \frac{p}{q} where \: p \: and \: qare \: coprime$

$\sqrt{3} + \sqrt{5} = \frac{p}{q} - 2$

here p/q-2is rational no. so √3+√5 should also equal to rational no.

But it contradicts the fact that √3&√5 are irrational no

so rational number not equal to irrational

our assumption is wrong 2+√3+√5 is an irrational no.

HOPE it helps you

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