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

Respuesta :

the first is a. you can rewrite it
[tex] \sqrt{x^5} = \sqrt{x^2x^2x} = \sqrt{x^2}\sqrt{x^2}\sqrt{x} = xx\sqrt{x} = x^2\sqrt{x} [/tex]

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.
[tex]\sqrt{36x} + \sqrt{100x} - \sqrt{25x} \\ 6\sqrt{x}+10\sqrt{x}-5\sqrt{x} \\ 11\sqrt{x} [/tex]

the fourth is d.
add 3 to both sides [tex]\sqrt{2x} = 10[/tex]
then square both sides [tex]2x=100[/tex]
then divide both sides by 2, x=50
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