Certainly! Let's solve the given expression step-by-step:
The expression we are given is:
[tex]\[
\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} + \sqrt{2}}
\][/tex]
To simplify this expression, we can observe the following:
1. The numerator is \(\sqrt{3} + \sqrt{2}\).
2. The denominator is also \(\sqrt{3} + \sqrt{2}\).
When both the numerator and the denominator of a fraction are identical, the fraction equals 1. This is because any non-zero number divided by itself equals 1.
So, we can simplify the expression by directly stating:
[tex]\[
\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} + \sqrt{2}} = 1
\][/tex]
Hence, the value of the given expression is:
[tex]\[
1.0
\][/tex]
