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alex41 [277]
2 years ago
13

What is 2√20 - 4√45 + 7√12 in simplest radical form? Show your work!

Mathematics
1 answer:
posledela2 years ago
8 0

Answer:

14\sqrt{3}-8\sqrt{5}

Step-by-step explanation:

we have

2\sqrt{20}-4\sqrt{45}+7\sqrt{12}

we know that

2\sqrt{20}=2\sqrt{2^{2}5} =2(2)\sqrt{5}=4\sqrt{5}

4\sqrt{45}=4\sqrt{3^{2}5} =4(3)\sqrt{5}=12\sqrt{5}

7\sqrt{12}=7\sqrt{2^{2}3} =7(2)\sqrt{3}=14\sqrt{3}

substitute the values in the expression above

4\sqrt{5}-12\sqrt{5}+14\sqrt{3}

Combine like terms

14\sqrt{3}-8\sqrt{5}

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