How do you multiply #\sqrt { 7t ^ { 3} } \cdot \sqrt { 10t ^ { 5} }#?

1 Answer
Dillon B.
Apr 2, 2018

#sqrt7*sqrtt^3*sqrt10*sqrtt^5 =sqrt70*sqrtt^8 =t^4*sqrt70#

Explanation:

As we know, Roots that are in multiplication with each other can be manipulated to our desire.
As a result, we change #sqrt7t^3*sqrt10t^5 to sqrt70 * sqrtt^8#
This allows us to simplify #sqrtt^8 to t^(8/2)#
Finally allowing the answer of #sqrt70*t^4#

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