Question

$\sqrt{1500}$ can be simplified into:

• A. $10\sqrt{5}$
• B. $15\sqrt{10}$
• C. $10\sqrt{15}$
• D. $10\sqrt{3}$

Answer 1

The correct option is C $10\sqrt{15}$

$\sqrt{1500}$ can be simplfied as: $\sqrt{1500}=\sqrt{2\times 750}=\sqrt{2\times 2\times 375}=\sqrt{2\times 2\times 5\times 5\times 15}=\sqrt{2\times 5\times 2\times 5\times 15}=\sqrt{10\times 10\times 15}=10\sqrt{15}$

∴ $\sqrt{1500}=10\sqrt{15}$