Question

Can you help plz? Simplify the radical expression square root of 80w^3 divided by 9

Answer 1

The answer to the question is

4w√5w

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9

Answer 2

`\bf \sqrt{\cfrac{80w^3}{9}}\implies \cfrac{√(80w^3)}{√(9)}\qquad \boxed{80=16\cdot 5}\qquad \cfrac{\sqrt{16\cdot 5w^(2+1)}}{√(9)} \\\\\\ \cfrac{√(4^2\cdot 5w^2w^1)}{√(9)}\implies \cfrac{4w√(5w)}{3}`