Respuesta :

Step-by-step explanation:

[tex] = \frac{4 \sqrt{5} }{3 \sqrt{2} } [/tex]

Calculate the expression...

[tex] = \frac{4\sqrt{10} }{6} [/tex]

Reduce the fraction..

[tex] = \frac{2 \sqrt{10} }{3} [/tex]

Equestriadish

Answer -

  • Given expression -

[tex] \frac{4 \sqrt{5} }{3 \sqrt{2} } \\ [/tex]

we're required to rationalise the expression !

therefore , we'll be rationalising the denominator.

[tex] \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} [/tex]

hope this helps !

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