24gardunov 24gardunov
  • 31-05-2022
  • Mathematics
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Find the length of side X in the simplest radical form of the rational denominator

Find the length of side X in the simplest radical form of the rational denominator class=

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loneguy
loneguy loneguy
  • 31-05-2022

[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]

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