Question

Simplify completely: 12x11y · 1848062" y? 16O 6x^y? V6xO 6x"y? 6xO 216'ya

Answer 1

Given:

`\sqrt[]{12x^(11)y^6}.\sqrt[]{18y^8}`

To simplify this, we can follow the steps below

`\sqrt[]{12x^(11)y^6}.\sqrt[]{18y^8}=\sqrt[]{12*18* x^(11)* y^6* y^8}`

This can be simplified further

`\sqrt[]{216* x^(11)* y^(14)}`

Then we will obtain

`\sqrt[]{216\text{ }}\text{ x }\sqrt[]{x^(11)}\text{ x}\sqrt[]{y^(14)}`

=>

`6\sqrt[]{6}* x^{(11)/(2)}* y^{(14)/(2)}`

=>

`6\sqrt[]{6}\text{ }*(x^{5+(1)/(2)})* y^7`

=>

`6\sqrt[]{6}\text{ }* x^5* x^{(1)/(2)}* y^7`

=>

`6\sqrt[]{6}\text{ }* x^5*\sqrt[]{x}\text{ }* y^7`

=>

`6x^5y^7\sqrt[]{6x}`