evejwhah
evejwhah evejwhah
  • 14-02-2022
  • Mathematics
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Find the length of side X in simplest radical form with a rational denominator

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

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chetankachana
chetankachana chetankachana
  • 14-02-2022

Answer:

x = [tex]\frac{\sqrt2}{2}[/tex]

Step-by-step explanation:

Solve for x:

  • x² + x² = 1²
  • 2x² = 1
  • x² = 1/2
  • x = √(1/2)
  • x = (√1)(√2)    

Rationalize the denominator

Elminate the radical

  • x = (√1 * √2)(√2 * √2)         ⇒ Rationalize the denominator
  • x = (√2)/(2)

-Chetan K

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