Question

Which expression is equivalent to 4√6/3

Answer 1

Answer:

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

Step-by-step explanation:

The question seem incomplete;

The full question is

Which expression is equivalent to 4√6/3√2

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  = $\frac{4}{3}{\sqrt3}$