Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
simplify sqrt(12): [tex]\sqrt{12} = \sqrt{4 * 3} = \sqrt{4} * \sqrt{3} = 2 * \sqrt{3} = 2\sqrt{3}[/tex]
simplify sqrt(27): [tex]\sqrt{27} = \sqrt{9 * 3} = \sqrt{9} * \sqrt{3} = 3 * \sqrt{3} = 3\sqrt{3}[/tex]
substitute into original equation: [tex]\sqrt{12} + \sqrt{27} = 2\sqrt{3} + 3\sqrt{3}[/tex]
factor out sqrt(3): [tex]\sqrt{3} * (2 + 3)[/tex]
simplify: [tex]\sqrt{3} * 5 = 5\sqrt{3}[/tex]
