Question

{3\sqrt{2} }" alt="\frac{4\sqrt{5}}{3\sqrt{2} }" align="absmiddle" class="latex-formula">
Please solve with steps

Answer 1

Step-by-step explanation:

$= \frac{4 \sqrt{5} }{3 \sqrt{2} }$

Calculate the expression...

$= \frac{4\sqrt{10} }{6}$

Reduce the fraction..

$= \frac{2 \sqrt{10} }{3}$

Answer 2

Answer -

• Given expression -

$\frac{4 \sqrt{5} }{3 \sqrt{2} }$

we're required to rationalise the expression !

therefore , we'll be rationalising the denominator.

$\frac{4 \sqrt{5} }{3 \sqrt{2} } \times \frac{3 \sqrt{2} }{3 \sqrt{2} } = \frac{12 \sqrt{10} }{18} \\ \\ \implies \: \frac{\cancel6(2 \sqrt{10}) }{\cancel{18} } \\ \\ \implies \: \frac{2 \sqrt{10} }{3}$

hope this helps !