How do you multiply #\sqrt { 5c ^ { 4} } \cdot \sqrt { 14c ^ { 3} }#?

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Answer 1 · 2017-04-25T01:43:29

See below.

Since both terms have a square root, you can multiply under the radical:

#sqrt(5c^4) * sqrt(14c^3) = sqrt(5c^4 * 14c^3)#

Now, combine like terms:

#sqrt(70c^7)#
*Note that I added the exponents instead of multiplying them.

The next step is to factor within the radical, then simplify the radical:

#sqrt(70*c*c^3*c^3)#
#c^3 sqrt(70c)#

I hope that helps!