Question

The final value of the expression $\sqrt{225}+\sqrt{100}$ is

• A. 20
• B. 35
• C. 30
• D. 25

Answer 1

The correct option is D 25

$\sqrt{225}$ can be simplified as:
$\sqrt{225}=\sqrt{5\times 45}=\sqrt{5\times 5\times 9}=\sqrt{5\times 5\times 3\times 3}=\sqrt{5\times 3\times 5\times 3}=\sqrt{15\times 15}=15$

Similarly, $\sqrt{100}$ can be simplified as:
$\sqrt{100}=\sqrt{2\times 2\times 25}=\sqrt{2\times 2\times 5\times 5}=\sqrt{2\times 5\times 2\times 5}=\sqrt{10\times 10}=10$

∴ The value of $\sqrt{225}+\sqrt{100}$ is equal to $\sqrt{225}+\sqrt{100}=15+10=25$