Respuesta :

Solution

Solve the surds form below

[tex]-3\sqrt{15}(\sqrt{5}+2)[/tex]

Step 1:

[tex]\begin{gathered} -3\sqrt{15}(\sqrt{5}+2) \\ Applying\text{ distributive rule} \\ -3\sqrt{15}.\sqrt{5}-3\sqrt{15}(2) \end{gathered}[/tex]

Step 2 :

Simplify

[tex]\begin{gathered} -3\sqrt{75}-6\sqrt{15} \\ -3(5)\sqrt{3}-6\sqrt{15} \\ -15\sqrt{3}-6\sqrt{15} \end{gathered}[/tex]

Hence the final answer is

[tex]-(15\sqrt{3}+6\sqrt{15})[/tex]

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