#### Answer

$5t^2\sqrt 2t$

#### Work Step by Step

Separate the radical to make it easier to simplify.
$\sqrt 50\times\sqrt t^4\times\sqrt t$
$\sqrt 25\times\sqrt 2\times\sqrt t^4\times\sqrt t$
Simplify
$5\times\sqrt 2\times t^2\times\sqrt t$
Answer: $5t^2\sqrt 2t$