Add 19−−√ + 19−−√ .

To simplify the expression, let's assume:

x = sqrt(19)

Therefore, the expression becomes:
x + x

Combining like terms, we have:
2x

Finally, substitute x back:
2 * sqrt(19)

So, the simplified expression is 2sqrt(19).

To add these two numbers, 19√ - 19√, you can combine their terms. Since the terms have the same radical (√), you can add their coefficients. This means you can add 19 + 19, which equals 38. Since the radical part remains the same, you get 38√ as the final answer.

To add the expressions 19√ + 19√, we need to simplify the square roots first. We can use the property of square roots that states √(a + b) = √a + √b.

So, let's simplify the square roots:

√19 + √19

Since both terms under the square root are the same, we can combine them:

2√19

Therefore, the sum of 19√ + 19√ is 2√19.