Add √19+ √19.
A. √20
B. √40
C. 2√38
D. 2√19
√19 + √19 = 2√19
Therefore, the correct answer is D. 2√19.
To add √19 + √19, you can combine the like terms and simplify the expression.
Step 1: √19 + √19 = 2√19
So the correct answer is D. 2√19.
To add √19 + √19, we first need to simplify each square root individually.
Recall that the square root of a number √a can be simplified by finding the largest perfect square that is a factor of a. In this case, the largest perfect square that is a factor of 19 is 1, since 1 * 19 = 19.
So, we can rewrite √19 as √(1 * 19).
Next, we can apply the property of square roots, which states that √(a * b) = √a * √b. Using this property, we can split the square root of 19 into the square root of 1 multiplied by the square root of 19.
This gives us √(1 * 19) = √1 * √19 = 1 * √19 = √19.
Now we can substitute the simplified square roots back into the original expression:
√19 + √19 = √19 + √19
Since the square roots are the same, we can combine them:
√19 + √19 = 2√19
Therefore, the correct answer is D. 2√19.