Asked by Anonymous

How do I rationalize the dinominator on this (x^2 +y^2)/(√(x^2 +y^2 +1)-1)

Answers

Answered by oobleck
multiply top and bottom by the conjugate:
(x^2 +y^2)/(√(x^2 +y^2 +1)-1) * (√(x^2 +y^2 +1)+1)/(√(x^2 +y^2 +1)+1)
=(x^2+y^2)(√(x^2 +y^2 +1)+1)/((x^2+y^2+1)-1)
= (x^2+y^2)(√(x^2 +y^2 +1)+1)/(x^2+y^2)
= √(x^2 +y^2 +1)+1
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions