Respuesta :

We are given the following radical

[tex]\sqrt[]{243}[/tex]

Let us reduce the above radical

We need to break the number 243 into a product of factors

Notice that 81 and 3 are the factors (83×3 = 243)

[tex]\sqrt[]{243}=\sqrt[]{81}\cdot\sqrt[]{3}[/tex]

Since 81 is a perfect square so the radical becomes

[tex]\sqrt[]{243}=\sqrt[]{81}\cdot\sqrt[]{3}=9\cdot\sqrt[]{3}[/tex]

Therefore, the simplified radical is

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