A plumber is fitting pipes for a remodeled kitchen sink. The sink requires 3 different sections of pipe; the first is 6√96 feet long, the second section is 12√150 feet long, and the third section is 2√294 feet long. How many feet of piping is required for all 3 sections?

ANSWERS

2021-02-23 18:59:03

98 √6 feet is required for all 3 sections. 6 √96 + 12 √150 + 2 √294 = 0 Simplify each radical to be the same. 6 √96 = 6 √16 * 6 = 6 * 4 √6 = 24 √6 12 √150 = 12 √25 * 6 = 12 * 5 √6 = 60 √6 2 √294 = 2 √49 * 6 = 2 * 7 √6 = 14 √6 Add the radicals. 24 √6 + 60 √6 + 14 √6 = 98 √6 feet

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