which expression is equivalent to $\\sqrt{600}$?\na $6\\sqrt{10}$\nb $10\\sqrt{6}$\nc $24\\sqrt{25}$\nd…
which expression is equivalent to $\\sqrt{600}$?\na $6\\sqrt{10}$\nb $10\\sqrt{6}$\nc $24\\sqrt{25}$\nd $25\\sqrt{24}$
Answer
Explanation:
Step1: Factorize 600
$$ \begin{align*} 600&=100\times6\ \end{align*} $$
Step2: Apply the square - root property (\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}(a\geq0,b\geq0))
$$ \begin{align*} \sqrt{600}&=\sqrt{100\times6}\ &=\sqrt{100}\cdot\sqrt{6}\ & = 10\sqrt{6} \end{align*} $$
Answer:
B. (10\sqrt{6})