11) - V12 + 3V3 Simplify

Mathematics

1 answer:

allsm [11]2 years ago

6 0

Answer:

$\large\boxed{-\sqrt{12}+3\sqrt3=\sqrt3}$

Step-by-step explanation:

$-\sqrt{12}+3\sqrt3=-\sqrt{4\cdot3}+3\sqrt3\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=-\sqrt4\cdot\sqrt3+3\sqrt3=-2\sqrt3+3\sqrt3=(-2+3)\sqrt3=1\sqrt3=\sqrt3$

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