Question

Which expression is equivalent to 3V 45 – 7V20? -20-630 – 20/5-5/5

Answer 1

Answer:

$-5\sqrt{5}$

Explanation:

Here, we want to simplify the given expression

We have that as follows:

$\begin{gathered} 3\sqrt{45}\text{ = 3}\times\sqrt{45}\text{ = 3}\times\sqrt{9\times5}\text{ = 9}\sqrt{5} \\ 7\sqrt{20}\text{ = 7}\times\sqrt{20}\text{ = 7}\times\text{ }\sqrt{4\text{ }}\text{ }\times\sqrt{5\text{ }}\text{ = 14}\sqrt{5} \end{gathered}$

Thus, we have the difference as:

$9\sqrt{5}\text{ - 14}\sqrt{5}\text{ = -5}\sqrt{5}$