An expression is shown below: square root of 50 plus the square root of 2 Which statement is true about the expression?

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