Maths / Cube and Cube Roots / Properties of Cubes of Numbers

QUESTION
 

Find the value of  large sqrt [3]{288}timessqrt [3]{432}timessqrt [3]{648}.

EXPLANATION
Explain TypeExplanation Content
Text

By resolving 288, 432 and 648 into prime factors

=sqrt [3]{288}timessqrt [3]{432}timessqrt [3]{648}

=sqrt [3]{2^5times3^2times2^4times3^3times2^3times3^4}

=2^4times3^3=16times27=432

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