The difference of the irrational numbers 5 + √2 and 5 - √2?

Sure! Let's find the difference between the irrational numbers 5 + √2 and 5 - √2 step by step.

Step 1: Start with the expression 5 + √2. Step 2: Simplify the expression by combining like terms. Since there are no other terms to combine with 5, we can leave it as it is. Step 3: Simplify the expression √2. Since it is an irrational number, we cannot simplify it further. Step 4: Repeat steps 1-3 for the expression 5 - √2. Step 5: Now, subtract the simplified expressions obtained in step 2 and step 3. (5 + √2) - (5 - √2) = 5 + √2 - 5 + √2. Step 6: Combine like terms. The 5 and -5 cancel each other out, leaving us with 2√2 as the final difference.

Therefore, the difference between the irrational numbers 5 + √2 and 5 - √2 is 2√2.