Answer :
7.07106781186 would answer the first part. The second part would be that it is irrational and equal to 5 multiplied by square root of 2.
Answer:
It is irrational and equal to 5 multiplied by square root of 2.
Step-by-step explanation:
The expression is :
[tex]\sqrt{32}+\sqrt{2}[/tex]
We can write that [tex]32=(2).(16)[/tex]
If we replace this in the expression we can distribute the square root :
[tex]\sqrt{32}+\sqrt{2}=\sqrt{(2).(16)}+\sqrt{2}=(\sqrt{2}).(\sqrt{16})+\sqrt{2}=[/tex]
[tex](\sqrt{2}).(4)+\sqrt{2}=(5).(\sqrt{2})[/tex]
The expression is equal to 5 multiplied by square root of 2.
Given that [tex]\sqrt{2}[/tex] is an irrational number, meaning that it can't be expressed as a quotient of two integer numbers, the result [tex](5).(\sqrt{2})[/tex] will be an irrational number.