select the correct answer.\nwhich expression is equivalent to $10\\sqrt{5}$?\na. $\\sqrt{500}$\nb…
select the correct answer.\nwhich expression is equivalent to $10\\sqrt{5}$?\na. $\\sqrt{500}$\nb. $\\sqrt{105}$\nc. $\\sqrt{50}$\nd. $\\sqrt{15}$
Answer
Answer:
A. $\sqrt{500}$
Explanation:
Step1: Square the original expression
$(10\sqrt{3})^2 = 10^2 \times (\sqrt{3})^2$
Step2: Calculate each squared term
$10^2 = 100$, $(\sqrt{3})^2 = 3$
Step3: Multiply the results
$100 \times 3 = 500$
Step4: Rewrite as square root
$\sqrt{500}$ matches the squared result