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

1 Answer
Apr 27, 2018

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

Explanation:

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))