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Step-by-step explanation:
³√27 ׳√8 ׳√125
27 can be written as 3×3×3=3³
8 can be written as 2×2×2=2³
125 can be written as 5×5×5=5³
³√27 ׳√8 ׳√125
=> (27)⅓×(8)⅓×(125)⅓
=>(3³)⅓×(2³)⅓×(5³)⅓
=> 3³/³ × 2³/³ × 5³/³
=> 3 ×2×5
=> 30
The value of ³√27 ׳√8 ׳√125 = 30
Used formulae:-
(a^m)^n = a^(mn)
nth root a = a^1/n
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