Question

evaluate :: $\sqrt[3]{1728 * 2197}$

Answer 1

156

Step-by-step explanation:

$\sqrt[3]{1728 * 2197} \\ = \sqrt[3]{12 \times 12 \times 12 \times 13 \times 13 \times 13} \\ = 12 \times 13 \\ = 156$

Answer 2

Answer:

156

Step-by-step explanation:

factorise

1728=2×864=2×2×432=2×2×2×216=2×2×2×2×108 =2×2×2×2×2×54=2×2×2×2×2×2×27=2×2×2×2×2×2×3×3×3

=4×4×4×3×3×3=4^3 * 3^3

2197=13×13×13=13^3

cube root if 1728*2197= cube root of (4^3*3^3*13^3)

=4×3×13

=156