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Simplify. (Assume all variables represent positive numbers.)✓32a5b15Need Help?Watch ItAdditional MaterialseBook

Sagot :

We have the next expression

[tex]\sqrt[]{32a^5b^{15}}[/tex]

In order to simplify we will factorize the expression in a next way

[tex]\sqrt[]{4\cdot4\cdot2\cdot a^4\cdot b^{14}\cdot b}[/tex][tex]\sqrt[]{4}\cdot\sqrt[]{4}\cdot\sqrt[]{2}\cdot\sqrt[]{a^4}\cdot\sqrt[]{b^{14}}\cdot\sqrt[]{ab}[/tex]

Then we simplify the results

[tex]2\cdot2\cdot a^2\cdot b^7\cdot\sqrt[]{2ab}[/tex][tex]4a^2b^7\sqrt[]{2ab}[/tex]

the simplification is

[tex]4a^2b^7\sqrt[]{2ab}[/tex]

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