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Find the length of side x in simplest radical form with a rational denominator. URGENT HELP 50 PTS

Find the length of side x in simplest radical form with a rational denominator. URGENT-example-1
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User Nurhan
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1 Answer

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Answer: x = 2√3.

Explanation:


x^(2) +6^(2) =(2x)^(2)\\\\x^(2) +36=4x^(2) \\\\4x^(2)-x^(2) -36=0\\\\3x^(2) -36=0\\\\3(x^(2) -12)=0\\\\x^(2) -12=0\\\\x^(2) =12\\\\x=√(12) =2√(3)

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User Yogsototh
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