How do you simplify #2sqrt[48] + 7sqrt[12] –sqrt[27]#?

1 Answer
Roella W.
May 10, 2016

#19sqrt(3)#

Explanation:

The key element of the simplification is to break down all the numbers into their smallest factors and identify those factors which can be taken outside the square root.

#2sqrt(48)+7sqrt(12)-sqrt(27#

#=2sqrt(4*4*3)+7sqrt(2*2*3)-sqrt(3*3*3)#

#=2*4sqrt(3)+7*2sqrt(3)-3sqrt(3)#

#=(8+14-3)sqrt(3)#

#=19sqrt(3)#

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