Question

Find the square root of 2025 by prime factorisation.

• A. 25
• B. 35
• C. 50
• D. 45

Answer 1

The correct option is D

45

$\text{Prime factorisation of 2025 is:}$

$\begin{array}{cc}5& 2025\\ 5& 405\\ 3& 81\\ 3& 27\\ 3& 9\\ & 3\end{array}$

$2025=5\times 5\times 3\times 3\times 3\times 3$
$2025=5^2\times 3^2\times 3^2$

$\therefore \sqrt{2025}=5\times 3\times 3=45$