Simplify (4 √ 14 + 4 √ 10) (3 √ 7 - 4 √ 5)

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)