Question

Write the rationalized expression of:

Answer 1

A

Explanation:

First, simplify the numerator:

`(3 )/(√(3) + √(x) ) \\`

Next, multiply the numerator and denominator by the opposite of the denominator to rationalize the expression.

`(3)/(√(3)+√(x) )*(√(3)-√(x) )/(√(3)-√(x))`

Finally, evaluate the denominator by multiplying them together.

`\frac{3(√(3)-√(x))} {(√(3)+√(x))(√(3)-√(x))}`

Simplify:

`\frac{3(√(3)-√(x))} {3-x}`

And done! :)