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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

Guys I’m scared to ask my dad for help cus he just helped me and the info went right-example-1
User Sujay DSa
by
8.1k points

1 Answer

1 vote

Answer:

14. -5√30 +3√2

15. 18√5 -30√3

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 ...


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

__

15. Similarly, ...


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

User Aashutosh Rathi
by
7.9k points
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