Question

Prove that 3 + √6 is a irrational number

Answer 1

we all know that a rational no . + irrational no.=

irrational no.
like this , we can say that 3+✓6=irrational
___________________(or)

we all know that ✓6=2.4494.. ..

so, 3+✓6=3+2.4494....

=5.4494......

which is not terminating and also not recurring (repeating)

so, we can say that it is an irrational no.

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hope it helps....

please mark it as brainliest

Answer 2

3+√6
3+ 2.4494897
= 5.4494897

when we square it, the no. is non termination