Answer:
hints to solve each. partial answer due to lack of time, hope it helps!
Step-by-step explanation:
1)
a) solve ():
5 [tex]\sqrt{3}[/tex] + 7 [tex]\sqrt{3}[/tex] - 9 [tex]\sqrt{3}[/tex] - 6 [tex]\sqrt{3}[/tex] + 12 [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex] =
[tex]\sqrt{3}[/tex] . (5 +7-9-6+12-10)
b) use [tex]\sqrt{6\\}[/tex] = [tex]\sqrt{3\\}\\\\[/tex][tex]\sqrt{2\\}\\\\[/tex]
c) use [tex]\sqrt{20\\}[/tex] = [tex]\sqrt{4\\}\\\\[/tex][tex]\sqrt{5\\}\\\\[/tex] = 2[tex]\sqrt{5\\}\\\\[/tex]
use [tex]\sqrt{8\\}[/tex] = [tex]\sqrt{4\\}\\\\[/tex][tex]\sqrt{2\\}\\\\[/tex] = 2[tex]\sqrt{2\\}\\\\[/tex]
2)
a) use [tex]\sqrt{30\\}[/tex] = [tex]\sqrt{6}[/tex][tex]\sqrt{5}[/tex]
use [tex]\sqrt{30\\}[/tex] = [tex]\sqrt{6}[/tex][tex]\sqrt{4}[/tex] = 2[tex]\sqrt{6}[/tex]
