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Algebra II. Radical expressions.: Multiply, and then simplify if possible. Show your work.

Algebra II. Radical expressions.: Multiply, and then simplify if possible. Show your work. class=

Verified Answer :

remember distributive property
a(b+c)=ab+ac
a(b-c)=ab-ac


also
law of exponents
\(\sqrt{mn}\)=\(\sqrt{n} \sqrt{m}\)

and
(a-b)(a+b)=a^2-b^2 (for question 14)
and (a+b)^2=a^2+2ab+b^2 (for question 15)




11.  \(\sqrt{2x}(\sqrt{6x}-3\sqrt{x})\)=\(\sqrt{12x^{2}}-3\sqrt{2x^{2}}\)=\(2x\sqrt{3}-3x\sqrt{2}\)

12. 108+(28∛21)

13. (-2√6)+(4√10)

14.√(2x-3)-49

15. 2x+(20√x)+50

16. (3∛2)-(6∛4)-16

17. 42x-6