How do you simplify $\sqrt{t} \cdot \sqrt{t}$ $sqrt t * sqrt t$ ?

Question

3331 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-07T04:26:27

$\sqrt{t} \cdot \sqrt{t} = t$ $sqrt(t)*sqrt(t) = t$

$\sqrt{t} \cdot \sqrt{t} = {(\sqrt{t})}^{2} = t$ $sqrt(t)*sqrt(t)=(sqrt(t))^2=t$ by definition of square root.

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

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

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

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