Question

Find cube root of 31304 by prime factorisation mrthod

Answer 1

31304/2

15652/2

7826/2

3913/7

559/13

43/43

1

$31304=2^3\cdot7\cdot13\cdot43\\\sqrt[3]{31304}=\sqrt[3]{2^3\cdot7\cdot13\cdot43}=\sqrt[3]{2^3}\cdot \sqrt[3]{7\cdot13\cdot43}=2\sqrt{3913}$