Which expression is equal to 4√20−3√45 ? −11√5, √5, 11√5, √-5

4√20 - 3√45
4√(4 * 5) - 3√(9 * 5)
8√5 - 9√5
-√5
It seems this is not one of your answer choices, but having checked it twice, I am sure it is the answer. Did you mistype your question or one of your answers?

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ChiKesselman ChiKesselman · Answer 2 · 2019-10-14T21:01:37+02:00

Answer:

[tex]4\sqrt{20} - 3\sqrt{45} = -\sqrt5[/tex]

Step-by-step explanation:

We are given the following information in the question:

We have to solve the given expression:

[tex]4\sqrt{20} - 3\sqrt{45}[/tex]

We can solve the equation as :

[tex]4\sqrt{20} - 3\sqrt{45}\\\\4\sqrt{2\times 2\times 5} - 3\sqrt{3\times 3\times 5}\\\\\text{Solving the square roots,}\\8\sqrt{5} - 9\sqrt{5}\\\\\text{Now, solving these like terms}\\(8-9)\sqrt5\\-1\sqrt5\\-\sqrt5[/tex]

Hence, the given expression is equal to [tex]-\sqrt5[/tex]