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  • 21-11-2021
  • 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
  • 21-11-2021

Answer:

x =  [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = [tex]\sqrt{3^2 + 3^2}[/tex]

  = [tex]\sqrt{9+9}[/tex]

  = [tex]\sqrt{18}[/tex]

Simplify [tex]\sqrt{18}[/tex]:

18 = 2 x 3 x 3

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3 * 3}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2 * 3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{2} * \sqrt{3^2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]3\sqrt{2}[/tex]

-Chetan K

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