Question 193941: what is the conjugate of 5 - the square root of 2?
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! 5-sqrt2, conjugate is "5 + sqrt2"
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if the original was " + ", the conjugate would be " - "
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These are important to radicals, because we must clear the denominators of radicals
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for example,
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1 / (5-sqrt2), multiply num and den by conjugate, ( 5+ sqrt2)
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1*(5+sqrt2) / ( (5-sqrt2) (5+sqrt2) )
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(5 +sqrt2) / ( 25 +5sqrt2 -5sqrt2 -(sqrt2)^2 )
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(5 +sqrt2) / (25-2)
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(5+sqrt2 / 23
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