Question

Express as pure surd 1/3 3
√54​

Answer 1

Given :   (1/3) ∛54

To find : Express as pure surd

Solution:

$a = \sqrt[n]{a^n}$

=>  $\frac{1}{3} = \sqrt[3]{ (\frac{1}{3})^3 } = \sqrt[3]{ \frac{1}{3^3} }$

(1/3) ∛54   =  ∛(54/3³)

=  ∛(54/27)

= ∛2

(1/3) ∛54   = ∛2

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