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zhuklara [117]
3 years ago
11

Simplify the following expression

Mathematics
2 answers:
saveliy_v [14]3 years ago
6 0
Answer:
2√6

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

Now, for the given:
\frac{6 \sqrt{2} }{ \sqrt{3} }

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

= \frac{6  \sqrt{2}   \sqrt{3} }{ \sqrt{3}   \sqrt{3} }

= \frac{6 \sqrt{6} }{3}

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

Hope this helps :)
LenKa [72]3 years ago
3 0
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)
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