Question

Use as propriedades para simplificar as raízes
A)¹⁰√2¹²⁰
B)¹²⁰√6¹²⁰
C)³√2.³√8
D)¹⁰√4⁵

Answer 1

letra A

= ^10√2^120 >>>> (120/10 = 12)

= 2^12

letra B

= ^120√6^120 >>>> (120/120 = 1)

= 6^1

= 6

letra C

= ^3√2 * ^3√8

= ^3√2 * ^3√2^3 >>>> (3/3 = 1)

= ^3√2 * 2^1

= ^3√2 * 2

= 2³√2

letra D

= ^10√4^5 >>>> (5/10 = 1/2)

= 4^½

= √4

= √2^2

= 2