How do you simplify #\sqrt { 75x ^ { 4} y ^ { 3} z ^ { 6} }?#

1 Answer
GM_Phrostbyte
Jul 1, 2017

Find all the possible perfect squares that can be taken out of each variable:

#sqrt(75x^4y^3z^5)#

#sqrt(25*3*x^2*x^2*y^2*y*z^2*z^2*z)#

Taking the square root of the perfect squares gets you:

#(5*x*x*y*z*z)sqrt(3yz)#

#(5x^2z^2y)sqrt(3yz)#

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