SOLUTION: Divide, rationalize denominator if necessary then simplify. {{{ (6-sqrt20)/2 }}}
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-> SOLUTION: Divide, rationalize denominator if necessary then simplify. {{{ (6-sqrt20)/2 }}}
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Algebra: Radicals -- complicated equations involving roots
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Question 39076
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Divide, rationalize denominator if necessary then simplify.
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Divide, rationalize denominator if necessary then simplify.
We know that sqrt20 = sqrt(4X5) = sqrt4 Xsqrt5 = 2sqrt5
Therefore (6-sqrt20)/2 = 6/2 - (2sqrt5)/2 = 3 - sqrt5
Answer: 3 - sqrt5