what is the following difference?\n11\\sqrt{45}-4\\sqrt{5}\n7\\sqrt{40}\n14\\sqrt{10}\n29\\sqrt{5}\n95\\sqrt{…
what is the following difference?\n11\\sqrt{45}-4\\sqrt{5}\n7\\sqrt{40}\n14\\sqrt{10}\n29\\sqrt{5}\n95\\sqrt{5}
Answer
Answer:
C. $29\sqrt{5}$
Explanation:
Step1: Simplify $\sqrt{45}$
$\sqrt{45}=\sqrt{9\times5}=\sqrt{9}\times\sqrt{5}=3\sqrt{5}$
Step2: Substitute into the original expression
$11\sqrt{45}-4\sqrt{5}=11\times3\sqrt{5}-4\sqrt{5}$ $=33\sqrt{5}-4\sqrt{5}$
Step3: Combine like - terms
$(33 - 4)\sqrt{5}=29\sqrt{5}$