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notsponge [240]
3 years ago
11

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

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

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}

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