Question

multiply. write your answer in sim\sqrt{5}\left(-9 + \sqrt{3}\
ight)

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\), here \(a = \sqrt{5}\), \(b=-9\), \(c = \sqrt{3}\). So we have \(\sqrt{5}\times(-9)+\sqrt{5}\times\sqrt{3}\).

Step2: Simplify each term

For the first term, \(\sqrt{5}\times(-9)=-9\sqrt{5}\). For the second term, using the property \(\sqrt{m}\times\sqrt{n}=\sqrt{mn}\), we get \(\sqrt{5}\times\sqrt{3}=\sqrt{15}\).

Answer:

\(-9\sqrt{5}+\sqrt{15}\)