Answer:
B) [tex]3\sqrt{3}[/tex]
Step-by-step explanation:
First simplify the radical on the right.
[tex]\sqrt{75}[/tex] is equal to [tex]\sqrt{25} *\sqrt{3}[/tex] , because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.
Then we know [tex]\sqrt{25}[/tex] is just equal to 25, which means the simplified version of [tex]\sqrt{75}[/tex] is [tex]5\sqrt{3}[/tex].
Then we can use this new representation to finish solving.
[tex]8\sqrt{3}-5\sqrt{3} =3\sqrt{3}[/tex], so the answer would be B
