What is #sqrt(10a^3)*sqrt(5a^2)#?

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Answer 1 · 2017-06-13T05:09:11

#5a^2sqrt(2a)#

To multiply square roots, you multiply the like terms under the square root sign while keeping the square root sign above the terms.

Then the squares are determined and taken out from the square root sign.

#sqrt(10a^3)*sqrt(5a^2)#

#sqrt(10a^3*5a^2)#

#sqrt(10xx5*a^3xxa^2)#

#sqrt(50a^5)#

Now determine squares by factorisation.

#sqrt(5xx5xx2*a^2xxa^2xxa)#

Remove the squares from under the square root sign.

#5a^2sqrt(2a)#