Answer:
[tex]3\sqrt{3} - 4\sqrt{2}[/tex]
Step-by-step explanation:
The expression (2 square root sign 27) - (3 square root sign 32) is [tex]2\sqrt{27} - 3\sqrt{32}[/tex].
To simplify, simplify inside the radicals by removing perfect square factors.
[tex]\sqrt{27} =\sqrt{9*3} =3\sqrt{3}[/tex]
[tex]\sqrt{32} =\sqrt{16*2} =4\sqrt{2}[/tex]
The expression becomes [tex]3\sqrt{3} - 4\sqrt{2}[/tex].
This cannot be simplified anymore because whats under the radical is not the same.
