How do you simplify $sqrt t * sqrt t$ ?

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Answer 1 · 2015-09-07T04:26:27

$sqrt(t)*sqrt(t) = t$

$sqrt(t)*sqrt(t)=(sqrt(t))^2=t$ by definition of square root.

A square root of $t$ is a number which when multiplied by itself (i.e. squared) gives $t$

On the other hand, be careful with the expression $sqrt(t^2)$ . This is not always equal to $t$ .

If $t in RR$ then $sqrt(t^2) = abs(t)$

How do you simplify sqrt t * sqrt tsqrt t * sqrt t?