How do you simplify #200/sqrt5#?

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Answer 1 · 2018-03-10T01:15:44

The result is #40sqrt5#.

Factor #200#, separate the fraction, then combine the exponents:

# color(blue)200/sqrt5 #

# color(blue)200/(5^(1/2)) #

# color(blue)200*1/(5^(1/2)) #

# color(blue)200*5^(-1/2) #

# color(blue)(40*5)*5^(-1/2) #

# color(blue)(40*5^1)*5^(-1/2) #

# color(blue)40*5^(1-1/2) #

# color(blue)40*5^(1/2) #

# color(blue)40*sqrt5 #

# color(blue)40sqrt5 #