Question

Find the cube root of -686/-2662

please answer correctly and with explanation​

Answer 1

Answer:

The prime factorisation of 2662

=  2 × 1331

= 2 × 11 × 121

= 2 × 11 × 11 × 11

∴ \sqrt[3]{2\times 11\times 11\times 11}32×11×11×11

= 11\sqrt[3]{2}32

∴ The value of \sqrt[3]{2662}32662 = 11\sqrt[3]{2}32

Thus, the cube root of 2662 by prime factorisation is 11\sqrt[3]{2}32 .