Question

8. Find the cube root of 4096 by prime factorisation method.

Answer 1

4096|2
2048|2
1024|2
512|2
256|2
128|2
64|2
32|2
16|2
8|2
4|2
2|2
1

$4096=2^{12}\\\\ \sqrt[3]{4096}=\sqrt[3]{2^{12}}=\sqrt[3]{(2^4)^3}=2^4=16$