How do you simplify #sqrtt*sqrtt#?

1 Answer
Jul 11, 2017

Answer:

#|t|#

Explanation:

We can multiply these together like this:

#sqrtt * sqrtt = sqrt(t*t) = sqrt(t^2)#

You might feel inclined to say that #sqrt(t^2) = t#, but notice that if #t# is negative, #t^2# is still positive, and so the square root of #t^2# will be positive #-# that is, the absolute value of #t#.

No matter what, #sqrt(t^2)# will always be positive (or #0#) since any number squared is non-negative. Therefore, we can say that:

#sqrtt * sqrtt = sqrt(t^2) = |t|#

Final Answer