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Question
The square root of `(256x^8y^4z^10)/(25x^6y^6z^6)` is equal to
Options
`16/5|(x^2z^4)/y^2|`
`16|y^2/(x^2z^4)|`
`16/5|y/(xz^2)|`
`16/5|(xz^2)/y|`
Solution
`16/5|(xz^2)/y|`
Explanation;
Hint:
`sqrt((256x^8y^4z^10)/(25x^6y^6z^6)) = sqrt(256/25 xx (x^(8-6) xx z^(10-6))/y^(6 - 4)`
= `sqrt(256/25 xx (x^2z^4)/(y^2)`
= `16/5|(xz^2)/y|`
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