What is the square root of the difference between half a number and two thirds of a different number?

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Answer 1 · 2018-04-27T15:05:43

#sqrt((x/2)-((2y)/3))#

The way the question is phrased, we must first find the difference between the two terms before taking the square root.

Half of a number can be represented as a variable (in this case, #x#) divided by #2#:

#x/2#

Two thirds of a different number can be represented as a different variable (in this case, #y#) multiplied by #2# and divided by #3#:

#2y/3#

Next, we subtract the second term from the first term to find the difference:

#x/2# - #(2y)/3#

Now, all we have to do is put the whole expression under a radical symbol to get the square root:

#sqrt((x/2)-((2y)/3))#