Question

By splitting into prime factors, find the square root of $5184$.

• A. $72$
• B. $42$
• C. $52$
• D. $48$

Answer 1

The correct option is A $72$

Prime factorisation of $5184$ can be obtained as,

$5184=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3\times 3$

$=2^6\times 3^4$
$\therefore \sqrt{5184}=\sqrt{2^6\times 3^4}=2^3\times 3^2=8\times 9=72$