Question

Rationalize the numerator or denominator and simplify

URGENT!!! What did I do wrong??

Answer 1

you multiplied the expression by √(y+9), changing its value

Explanation:

The appropriate multiplier is 1, in the form of something that will remove the radical from the denominator. Here, that something is ...

`1=(√(y+9))/(√(y+9))`

Then the appropriate form is ...

`(3y)/(√(y+9))=(3y)/(√(y+9))\cdot(√(y+9))/(√(y+9))=(3y√(y+9))/(y+9)`