To simplify the expression 2 + √3, we can't combine the 2 and √3 because they are different types of terms (a constant and a radical). However, we can simplify the expression by rationalizing the denominator.
We can do this by multiplying the top and bottom of the fraction by the conjugate of the denominator, which is 2 - √3. This will give us:
(2 + √3) * (2 - √3) / (2 - √3)
Simplifying the numerator, we get:
(2 * 2) - (2 * √3) + (√3 * 2) - (√3 * √3)
= 4 - 3
= 1
So the expression simplifies to:
1 / (2 - √3)
To rationalize the denominator, we can multiply the top and bottom by the conjugate of the denominator again, which is 2 + √3. This gives us:
1 * (2 + √3) / ((2 - √3) * (2 + √3))
= (2 + √3) / (2^2 - (√3)^2)
= (2 + √3) / (4 - 3)
= 2 + √3
So the simplified form of 2 + √3 is 2 + √3.
Or 3.73205081