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Simplify the following expression:
[tex]\[ \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} + \sqrt{2}} \][/tex]

Sagot :

GinnyAnswer
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]
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