SOLUTION: Please help. I need to simplify square root 2t^5 times square root10t^4 Thanks in advance!

Question 88353: Please help.
I need to simplify square root 2t^5 times square root10t^4
Thanks in advance!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Combine the square roots using the identity

Multiply

Factor into

Factor into

Break up the square roots using the identity

Take the square root of the perfect square to get 2

Take the square root of each of the perfect squares to get

Multiply the common terms
Rearrange the terms
Group the square root terms

Check:
Plug in (any value will do)

Now lets check our answer
Plug in

works
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