Question

Heelp me pls...... simplify each radical, then add or subtract. sqrt12 +sqrt27​

Answer 1

Answer:

$5\sqrt{3}$

Step-by-step explanation:

simplify sqrt(12): $\sqrt{12} = \sqrt{4 * 3} = \sqrt{4} * \sqrt{3} = 2 * \sqrt{3} = 2\sqrt{3}$

simplify sqrt(27): $\sqrt{27} = \sqrt{9 * 3} = \sqrt{9} * \sqrt{3} = 3 * \sqrt{3} = 3\sqrt{3}$

substitute into original equation: $\sqrt{12} + \sqrt{27} = 2\sqrt{3} + 3\sqrt{3}$

factor out sqrt(3): $\sqrt{3} * (2 + 3)$

simplify: $\sqrt{3} * 5 = 5\sqrt{3}$