jess448
jess448 jess448
  • 08-02-2021
  • Mathematics
contestada

Find the length of side x in simplest radical form with a rational denominator

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Find the length of side x in simplest radical form with a rational denominator class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 08-02-2021

Answer:

[tex] x = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2} [/tex]

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