anonymous
  • anonymous
Simplify, show work please √18 ---- √54
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
1/Sqrt(3)
radar
  • radar
\[3\sqrt{2}/3\sqrt{6}\]
radar
  • radar
\[3\sqrt{2}/3\sqrt{3}\sqrt{2}\]

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radar
  • radar
cancel out common factors that exist in both numerator and denominator. Like the 3, and the sqrt 2 This leaves 1/\[1/\sqrt{3}\] This is not considered "good form" (a radical in the denominator so multiply both numerator and denominator by sq rt of 3 \[\sqrt{3}/3\] or 1/3 sqrt 3
radar
  • radar
did you follow, I tried to show work.
radar
  • radar
I am standing by for any questions or clarification
radar
  • radar
I just noted that I did not show how the original numbers were changed. 18 is the same as 9 x 2. Well 9 is a perfect square with a square root of 3 which can be removed from the radical leaving only the 2 in the radical. Comphrendo?
radar
  • radar
the 54 is the same as 9 times 6 and the same procedure can be followed leaving only the 6 inside the radical.

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