Question

using prime factorisation mothod find the cube root of 2744-
/4096


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Answer 1

Answer:

Cube root of

2744 --> 2 x 2 x 2  X  7 x 7 x 7 --> 2 x 7 = 14

4096 --> 2 x 2 x 2  X  2 x 2 x 2  X  2 x 2 x 2  X  2 x 2 x 2 --> 2 x 2 x 2 x 2 = 16

now,

   $\sqrt[3]{\frac{2744}{4096}}$

=   $\frac{\sqrt[3]{2744} }{\sqrt[3]{4096} }$

=   14/16

=  7/8

This is your final answer

Hope it helps...