Video Transcript
Complete the square root of three
plus 12 is equal to 12 plus what.
In this question, we are asked to
find an unknown value in an equation. We can note that 12 appears on both
sides of the equation. We can also note that the addition
by 12 has been reordered to the front of the equation. This should remind us of the
commutativity of the addition of real numbers.
We can recall that this tells us
for any real numbers 𝑎 and 𝑏, we have that 𝑎 plus 𝑏 is equal to 𝑏 plus 𝑎. In other words, we can reorder the
sum of real numbers. Therefore, if we set 𝑎 equal to
the square root of three and 𝑏 equal to 12, we see that the square root of three
plus 12 is equal to 12 plus the square root of three.
