Question

Estimate cube root of $27$ $\times$ $(-2744)$.

• A. $42$
• B. $-42$
• C. $54$
• D. $-64$

Answer 1

The correct option is B $-42$

$27\times (-2744)$

$=(-1)\times \left(27\right)\times \left(2744\right)$

$=(-1{)}^3\times (3{)}^3\times (2\times 2\times 2\times 7\times 7\times 7)$

$=(-1{)}^3\times (3{)}^3\times \left[\right(2{)}^3\times \left(7{)}^3\right]$

$={(-42)}^3$