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Mathematics
Brennen Rangel
19 April, 12:13
Simplify (4 √ 14 + 4 √ 10) (3 √ 7 - 4 √ 5)
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Dimpling
19 April, 14:45
0
4 sqrt (2) - sqrt (70)
Step-by-step explanation:
Simplify the following:
(4 sqrt (14) + 4 sqrt (10)) (3 sqrt (7) - 4 sqrt (5))
Factor 4 out of 4 sqrt (14) + 4 sqrt (10) giving 4 (sqrt (14) + sqrt (10)):
4 (sqrt (14) + sqrt (10)) (3 sqrt (7) - 4 sqrt (5))
(sqrt (10) + sqrt (14)) (3 sqrt (7) - 4 sqrt (5)) = sqrt (10) (-4 sqrt (5)) + sqrt (10) * 3 sqrt (7) + sqrt (14) (-4 sqrt (5)) + sqrt (14) * 3 sqrt (7) = - 20 sqrt (2) + 3 sqrt (70) - 4 sqrt (70) + 21 sqrt (2) = sqrt (2) - sqrt (70):
Answer: 4 sqrt (2) - sqrt (70)
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