Question

What should be multiplied with $a^3$ $b^2$ to make it a perfect cube? Given 'a' and 'b' are prime numbers.

• A. True
• B. False
• C. $b$
• D. $a^2$ $b$

Answer 1

The correct option is C

$b$

$a^3$ $b^2$ = a $\times$ a $\times$ a $\times$ b $\times$ b
A perfect cube is a result of multiplying a number three times by itself, or, in other words, it is an integer to the power 3.
$a^3$ $b^2$ can be a perfect cube if 'b' is a perfect cube in the first place or b is also raised to the power of 3 .

b is raised to power of 2 , so if we multiply $b^2$ to b , it becomes $b^3$

So $b$ should be multiplied to $a^3$ $b^2$ to make it a perfect cube