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Zelda Heidenreich

Lvl 10
3y ago
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12y ago

That would be an expression with an irrational denominator. You can correct that by multiplying both the numerator and denominator by (√x - √y), giving you a difference of squares on the bottom:

(2√x - 3√y) / (√x + √y)

= [(2√x - 3√y) (√x - √y)] / [ (√x + √y)(√x - √y)]

= (2√x - 3√y) (√x - √y) / (x - y)

And expand the numerator if so desired:

= (2x - 2√[xy] - 3√[xy] + 3y) / (x - y)

= (2x - 5√[xy] + 3y) / (x - y)

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Q: What is 2 square root x - 3 square root y over square root x plus square root y?
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