To simplify the expression, we will first simplify the individual square roots:
√4 = 2√6 = √(23) = √2 √3√8 = √(24) = √2 √4 = 2√2√16 = 4
Now we can substitute these values back into the expression:
(√2 + √3 + 2) / (√2 + √3 + √2 * √3 + 2√2 + 4)
Now, we can simplify further by combining like terms in the denominator:
(√2 + √3 + 2) / (2√3 + 3√2 + 6)
This is the simplified expression.
To simplify the expression, we will first simplify the individual square roots:
√4 = 2
√6 = √(23) = √2 √3
√8 = √(24) = √2 √4 = 2√2
√16 = 4
Now we can substitute these values back into the expression:
(√2 + √3 + 2) / (√2 + √3 + √2 * √3 + 2√2 + 4)
Now, we can simplify further by combining like terms in the denominator:
(√2 + √3 + 2) / (2√3 + 3√2 + 6)
This is the simplified expression.