A) To simplify the expression (√50-2√18+√98): √2, we can simplify each term under the square root separately:

√50 = √(25*2) = 5√2
√18 = √(9*2) = 3√2
√98 = √(49*2) = 7√2

Now we can substitute these values back into the expression:

(5√2 - 2(3√2) + 7√2) / √2

Combine like terms:

(5√2 - 6√2 + 7√2) / √2

Simplify the numerator:

6√2 / √2

The square root of 2 divided by the square root of 2 is simply 1:

6√2 / √2 = 6

So the simplified expression is 6.

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

First, let's compare the coefficients of the square roots. The coefficient of √3 is 2, and the coefficient of √2 is 2. Since they are equal, we move on to the next term.

Next, let's compare the square roots themselves. √3 is approximately 1.732, and √2 is approximately 1.414. Since 1.732 is larger than 1.414, the expression 2√3 + 1 is larger than 2√2 + √5.

Therefore, 2√3 + 1 > 2√2 + √5.