Question

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

Answer 1

Answer:

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)