Respuesta :

carlosego
We have the following expression:
 (6root (2)) / (root (3))
 Rationalizing we have:
 (6root (2)) / (root (3)) * (root (3) / root (3))
 Rewriting we have:
 (6root (6)) / (3)
 2root (6)
 Answer:
 The simplified expression for this case is given by:
 2root (6)
Louli
Answer:
2√6

Explanation:
Before we begin, remember the following:
√a * √b = √ab
√a * √a = a

Now, for the given:
[tex] \frac{6 \sqrt{2} }{ \sqrt{3} } [/tex]

Multiply both the numerator and the denominator by √3:
[tex] \frac{6 \sqrt{2} }{ \sqrt{3} } [/tex] * [tex] \frac{ \sqrt{3}}{ \sqrt{3} } [/tex]

= [tex] \frac{6 \sqrt{2} \sqrt{3} }{ \sqrt{3} \sqrt{3} } [/tex]

= [tex] \frac{6 \sqrt{6} }{3} [/tex]

This can be rewritten as:
[tex] \frac{6}{3} \sqrt{6} [/tex] = 2√6

Hope this helps :)

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