How do you simplify sqrt(108x^6y^4z^5)?

1 Answer
May 29, 2017

sqrt(108x^6y^4z^5)=6x^3y^2z^2sqrt(3z)

Explanation:

sqrt(108x^6y^4z^5)

= sqrt(2xx2xx3xx3xx3xx x xx x xx x xx x xx x xx x xxyxxyxxyxxyxxzxxzxxzxxzxxz)

= sqrt(ul(2xx2)xxul(3xx3)xx3xx ul(x xx x) xx ul(x xx x) xx ul(x xx x) xxul(yxxy)xxul(yxxy)xxul(zxxz)xxul(zxxz)xxz)

= 2xx3xx x xx x xx x xxyxxyxxzxxz xxsqrt(3xxz)

= 6x^3y^2z^2sqrt(3z)