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ASHA 777 [7]
4 years ago
7

Guys I’m scared to ask my dad for help cus he just helped me and the info went right out the window? Can someone help me? Ik the

answer but I needa show work

Mathematics
1 answer:
N76 [4]4 years ago
5 0

Answer:

  14.  -5√30 +3√2

  15.  18√5 -30√3

Step-by-step explanation:

You can multiply radicals using ...

  (√a)(√b) = √(ab)

And you can simplify radicals using ...

  √(a²b) = a√b

_____

14. Using the distributive property, then simplifying the radicals, we have ...

  \sqrt{3}(-5\sqrt{10}+\sqrt{6})\\\\=-5\sqrt{3\cdot10}+\sqrt{3\cdot6}\\\\=-5\sqrt{30}+\sqrt{3^2\cdot2}\\\\=\boxed{-5\sqrt{30}+3\sqrt{2}}

__

15. Similarly, ...

  -2\sqrt{15}(-3\sqrt{3}+3\sqrt{5})\\\\=6\sqrt{15\cdot3}-6\sqrt{15\cdot5}\\\\=6\sqrt{3^2\cdot5}-6\sqrt{5^2\cdot3}\\\\=\boxed{18\sqrt{5}-30\sqrt{3}}

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