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PolarNik [594]
3 years ago
14

Which expression is equivalent to 4√6/3

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

\frac{4}{3}{\sqrt3}

Step-by-step explanation:

The question seem incomplete;

The full question is

<em>Which expression is equivalent to 4√6/3√2 </em>

<em></em>

Given

4√6/3√2

Required

Find equivalent

4\sqrt6/3\sqrt2

Rewrite Expression

\frac{4\sqrt6}{3\sqrt2}

Expand the above expression

\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}

Further split the fraction

\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}

Using rule of surds;

\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}

So, the above expression becomes

\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}

\frac{4}{3}\ *\ {\sqrt3}

\frac{4}{3}{\sqrt3}

At this stage, the expression cannot be further simplified;

Hence, 4√6/3√2  = \frac{4}{3}{\sqrt3}

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