Question

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

Answer 1

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

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

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

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15. Similarly, ...

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