We have the next expression
[tex]\sqrt[]{27x^8y^5}[/tex]
And we must simplify it.
1. we must distribute the root for all terms
[tex]=\sqrt[]{27}\sqrt[]{x^8}\sqrt[]{y^5}[/tex]
2. We must simplify √x^8 as x^4
[tex]=\sqrt[]{27}x^4\sqrt[]{y^5}[/tex]
3. We must simplify √y^5 as y^2√y
[tex]=\sqrt[]{27}x^4y^2\sqrt[]{y}[/tex]
4. We must simplify √27 as 3√3
[tex]=3\sqrt[]{3}x^4y^2\sqrt[]{y}[/tex]
ANSWER:
[tex]\sqrt[]{27x^8y^5}=3\sqrt[]{3}x^4y^2\sqrt[]{y}[/tex]
