2√2+√50-√98

To simplify the expression 2√2 + √50 - √98, we can simplify each of the square roots separately and then combine the terms.

First, let's simplify 2√2. The square root of 2 cannot be simplified any further, so we keep it as it is.

Next, let's simplify √50. The number 50 can be factored into 25 * 2. Since 25 is a perfect square, we can take its square root, which is 5. Therefore, √50 = √25 * √2 = 5√2.

Next, let's simplify √98. The number 98 can be factored into 49 * 2. Since 49 is a perfect square, we can take its square root, which is 7. Therefore, √98 = √49 * √2 = 7√2.

Now, we can substitute these simplified values back into the original expression: 2√2 + √50 - √98 = 2√2 + 5√2 - 7√2

Since all the terms have the same square root (√2), we can combine them by adding or subtracting their coefficients: = (2 + 5 - 7)√2 = 0√2 = 0

Therefore, the simplified form of 2√2 + √50 - √98 is 0.