How do you simplify #7sqrt600#?

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Answer 1 · 2015-05-18T19:23:49

You need to decouple your root:

#7sqrt(6*100)#
#7sqrt(6*10*10)#

As we have a squared number inside a square root, we can take it out, like this:

#7*10sqrt(6*10)#
#70sqrt(60)#

However, we can keep on simplifying:

#70sqrt(4*15)#
#70sqrt(2*2*15)#
#70*2sqrt(15)#

Final answer would be #140sqrt(15)#