00:01
For this equation, we need to solve for y using the square root property.
00:05
The square root property states that for some variable or quantity squared, set equal to a real number, the value of that variable or quantity is equal to the positive and negative square root of the real number.
00:19
In other words, a square root can be used as an inverse operation to the exponent 2 or to an item being squared.
00:30
So in the current equation, our variable y is trapped in this expression y plus 8, which is being squared.
00:39
So we need to remove the exponent 2 before we can access y plus 8.
00:44
The square root property tells us that we can use a square root to do just that.
00:49
So if we take the square root of the left side, we'll be left with y plus 8 by itself.
00:57
Basically, that square root takes off or cancels the exponent 2.
01:04
If we take a square root of the left side, we must also take a square root of the right to keep the equation balanced.
01:12
The square root of 11 cannot be simplified.
01:15
However, we need to remember that when we take the square root of a real number, the root could be positive or negative, so we need to include that in our equation.
01:25
Finally, to get y completely alone, we need to get rid of this positive 8 on the left side...