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How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?

How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?
asked 13.0k views
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How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?

asked
User ArthurCPPCLI
by
8.4k points

1 Answer

4 votes

Answer:


15-4√(15)

Explanation:


√(5)\left(3√(5)-4√(3)\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=√(5),\\\:b=3√(5),\:c=4√(3)\\\\=√(5)*\:3√(5)-√(5)*\:4√(3)\\\\=3√(5)√(5)-4√(5)√(3)\\\\Simplify\:\:\:3√(5)√(5)-4√(5)√(3) \: :15-4√(15)\\\\=15-4√(15)

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User Connor Knabe
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