SOLUTION: Simplify by rationalizing the denominator.
y over sqrt 7 plus sqrt 3
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Question 595614: Simplify by rationalizing the denominator.
y over sqrt 7 plus sqrt 3
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Rationalizing two-term denominators makes use of the following pattern:
This pattern shows us how to take a two-term expression, an a+b or a-b, multiply it by something and get an expression made up of all perfect squares, . Since your two-term denominator has a "+" between the terms it will play the role of a+b. So we need to multiply it (and the numerator) by a-b:
We already know that the denominator will be . On top we just distribute the y:
which simplifies as follows:
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