Question

Rationalize the denomintor _) √√3-√√2+1 OF​

Answer 1

Rationalizing the denominator of the expression
`(\sqrt 3)/(\sqrt2 + 1)` gives 3

How to rationalize the denominator

From the question, we have the following parameters that can be used in our computation:

`(\sqrt 3)/(\sqrt2 + 1)`

To rationalize, we have

`(\sqrt 3)/(\sqrt2 + 1) = (\sqrt 3)/(\sqrt2 + 1) * (\sqrt 3)/(\sqrt2 - 1)`

Evaluate the product

So, we have

`(\sqrt 3)/(\sqrt2 + 1) = (3)/(2 - 1)`

Evaluate the like terms

`(\sqrt 3)/(\sqrt2 + 1) = (3)/(1)`

Evaluate the quotient

`(\sqrt 3)/(\sqrt2 + 1) = 3`

Hence, rationalizing the denominator gives 3

Question

Rationalize the denomintor

`(\sqrt 3)/(\sqrt2 + 1)`