Question

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

Answer 1

`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)`