( 42 x 229 ) ÷ ( 9261)1/3 = ?

Home » Aptitude » Surds and Indices » Question

( 42 x 229 ) ÷ ( 9261)^{1/3^{= ?}}

1. 448
2. 452
3. 456
4. 458
5. None of the above

Correct Option: D

Given that, (42 x 229) ÷ (9261)^1/3 = ?
As we know that (9621)^1/3 = (21 x 21 x 21)^1/3 = 21^3x1/3
∴ 42 x 229 ÷ (21^{3 x} )^1/3 = ?
∴ 42 x 229 ÷ 21 = ?
∴ 42 x 229 x 1/ 21 = ?
∴ 2 x 229 = ?
∴ ? = 2 x 229
∴ ? = 458