Remember that the square root of a number is non-negative.
Sometimes
Practice makes perfect
Let's examine the given statement and classify it as sometimes, always, or never true.
If a and b are real numbers and a^2=b,
then a=sqrt(b).
For the statement, let a=1 and b=1.
1^2=1 ⇒ 1=sqrt(1)
The statement is true, for the values that we chose. Now, let's choose a=-1 and b=1.
-1^2=1 ⇒ -1≠sqrt(1)
Since the square root of a number is non-negative, the statement is not true this time. Therefore, we can say that the statement is sometimes true.
