How do you simplify: square root of 300 divided by the square root of 6?

1 Answer
Jul 23, 2015

Answer:

square root of 300 divided by the square root of 6 #= +-5sqrt(2)#

Explanation:

(Assuming your use of the phrase "square root" is intended to include both positive and negative roots... as opposed to the symbol #sqrt("something")# which is defined to be only the positive roots):

Since #sqrt(a/b) = sqrt(a)/sqrt(b)#

#+- sqrt(300)/sqrt(6) = +- sqrt(50)#

#color(white)("XXXX")## = +- sqrt(5^2*2)#

#color(white)("XXXX")##= +- sqrt(5^2)*sqrt(2)#

#color(white)("XXXX")##= +- 5sqrt(2)#