Question

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

Answer 1

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


also
law of exponents

`√(mn)`=
`√(n) √(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.
`√(2x)(√(6x)-3√(x))`=
`\sqrt{12x^(2)}-3\sqrt{2x^(2)}`=
`2x√(3)-3x√(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