A) To simplify the expression (√50-2√18+√98): √2, we can first simplify the numerator and denominator separately.

√50 can be simplified as √(25*2) = 5√2
√18 can be simplified as √(9*2) = 3√2
√98 can be simplified as √(49*2) = 7√2

So the numerator becomes 5√2 - 2(3√2) + 7√2 = 5√2 - 6√2 + 7√2 = 6√2

The denominator is √2

Therefore, the simplified expression is 6√2/√2

Since the numerator and denominator both have √2, they cancel out, leaving us with 6.

So the simplified expression is 6.

B) To compare 2√3 + 1 and 2√2 + √5, we need to determine which expression is greater.

First, let's compare the coefficients of √3 and √2. The coefficient of √3 in 2√3 + 1 is 2, while the coefficient of √2 in 2√2 + √5 is 2. Since the coefficients are the same, we move on to compare the constants.

The constant in 2√3 + 1 is 1, while the constant in 2√2 + √5 is 0. Since 1 is greater than 0, we can conclude that 2√3 + 1 is greater than 2√2 + √5.