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(Sqrt8 + sqrt12)(sqrt48 + sqrt18)?
Best answer will be awarded, please solve completely and show all your work!
3 Answers
- 賣女孩的火柴Lv 71 year agoFavorite Answer
[√(8) + √(12)] [√(48) + √(18)]
= [√(2³) + √(2² × 3)] [√(4² × 3) + √(3² × 2)]
= [2√(2) + 2√(3)] [4√(3) + 3√(2)]
= 8√(2 × 3) + 6√(2²) + 8√(3²) + 6√(3 × 2)
= 8√(6) + 12 + 24 + 6√(6)
= 36 + 14√6
- ?Lv 71 year ago
(√8 + √12)(√48 + √18)
= (√384 + √576 + √144 + √216)
= 8√6 + 24 + 12 + 6√2)
= 36 + 6√2 + 8√6
= 70.2928563989645
- MorningfoxLv 71 year ago
sqrt(8) = 2 sqrt(2)
sqrt(12) = 2 sqrt(3)
sqrt(48) = 4 sqrt(3)
sqrt(18) = 3 sqrt(2)
Putting it all together, I get 14sqrt(6) + 36
About 70.292856...
