Answer:
13. x = 3∛2
14 x = ± 4√6 = ± 4√2 √3
15. x = 2∛11
16 x = -4∛2
17 x = ± 10√3
18. x = ± 4 √3 √5
Explanation:
13. x³ = 54
x = ∛4
Factor 54: 2 x 27
∛54 = ∛2 x ∛27
∛27 = 3
answer: 3∛2
14. x² = 96
x = ±√96
96 = 6 x 16
√16 = 4
√6
√96 = ± 4√6 = ± 4√2√3
15. x³ = 88
x = ∛88
88 = 8 x 11
∛88 = ∛8 x ∛11 = 2∛11
16. x³ = -128 means x has to be negative
x = -∛128
128 = 64 x 2
∛128 = ∛64 x ∛2 = 4∛2
So x = -4∛2
17. x² = 300
=> x = ± √300
300 = 100 x 3
√300 = √100 x √3 = 10√3
x = ± 10√3
18. x² = 240
x = ±√240
240 = 16 x 15
√240 = ± (√16 x √15)
= ± 4 √3 √5