Respuesta :

the last one i think hope its right 

Answer:

b) [tex]6\sqrt{2}[/tex] irrational

Step-by-step explanation:

We are given two irrational numbers [tex]\sqrt{50}[/tex] and [tex]\sqrt{2}[/tex] and asked to find their sum and determine whether the result is rational or irrational.

Let us first simplify the first irrational number [tex]\sqrt{50}[/tex]

[tex]\sqrt{50} = \sqrt{25 \times 2}= \sqrt{25} \times \sqrt{2}=5\sqrt{2}[/tex]

Therefore

[tex]\sqrt{50} = 5\sqrt{2}[/tex]

Now

[tex]5\sqrt{2}+\sqrt{2}= \sqrt{2}(5+1)[/tex]

[tex]=6\sqrt{2}[/tex]

Which is again an irrational number.

Hence our option B is correct

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