Question

4root 2 +6 root 2 rational or irrational

Answer 1

Step-by-step explanation:

We have,

$4 \sqrt{2 } + 6 \sqrt{2} = 10 \sqrt{2}$

Now,

$\sqrt{2} \: is \: a \: irrational \: number$

and,

$\sqrt{10 \: } \: is \: a \: rational \: number$

We know that,

The product of a rational and an irrational number is always irrational.

Hence,

$10\sqrt{2} \: is \: an \: irrational \: number$