Question

Find the square root of the $9216$ by the prime factorisation method.

• A. 96
• B. 86
• C. 106
• D. 76

Answer 1

The correct option is A 96

$9216=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 2=2^2\times 2^2\times 2^2\times 2^2\times 2^2\times 3^2=(2\times 2\times 2\times 2\times 2\times 3{)}^2$

By pairing the prime factor, then

The square root of $9216=$ $2\times 2\times 2\times 2\times 2\times 3$ $=96$