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For questions 3-4, write two equivalent expressions for each radical expression using theproduct law of radicals. One of your expressions should simplify to an integer multipliedby a radical.√200 =V200 =3.4.√72=√√72 =

Respuesta :

Given the following expression:

[tex]\sqrt[3]{200}[/tex]

We will write two equivalent expressions for each radical expression using the

product law of radicals

First, we will make the prime factorization to the number 200

[tex]200=2*2*2*5*5=2^3*5^2[/tex]

So, the first expression will be that has an integer multiplied by a radical.

[tex]\sqrt[3]{200}=2\sqrt[3]{25}[/tex]

And the second expression will be:

[tex]\sqrt[3]{200}=\sqrt[3]{2}*\sqrt[2]{100}[/tex]

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