Question

Simplify

√x^5
a. x^2√x
b. x^3
c.x^3√x
d. x^4

√20+√40
a.5√5
b.√10
c.6√5
d. Cannot combine terms

√36x+√100x-√25x
a.6√3x
b.-5√5x
c.11√x
d.7x√x

solve for x
√2x-3=7
a.x=5
b.x=7
c.x=19
d. x=50

Answer 1

the first is a. you can rewrite it

`√(x^5) = √(x^2x^2x) = √(x^2)√(x^2)√(x) = xx√(x) = x^2√(x)`

the second is d. the only common factor between 20 and 40 that can be taken out is the 4 which becomes a 2, but inside the square roots there is still a 5 and 10, which cannot be combined

the third is c.

`√(36x) + √(100x) - √(25x) \\ 6√(x)+10√(x)-5√(x) \\ 11√(x)`

the fourth is d.
add 3 to both sides
`√(2x) = 10`
then square both sides
`2x=100`
then divide both sides by 2, x=50