add square root 19 + square root 19
square root 20
square root 40
2 square root 38
2 square root 19
what is the answer
The answer is 2 square root 19.
To find the answer, we can simplify each expression step by step:
1. Adding the square root of 19 and the square root of 19:
square root 19 + square root 19 = 2 * square root 19
2. Simplifying the square root of 20:
square root 20 = square root (4 * 5) = 2 * square root 5
3. Simplifying the square root of 40:
square root 40 = square root (4 * 10) = 2 * square root 10
4. Simplifying 2 * square root 38:
This cannot be simplified any further. It remains as 2 * square root 38.
5. Simplifying 2 * square root 19:
This cannot be simplified further either. It remains as 2 * square root 19.
So, the final answer is:
2 * square root 19 = square root 20 + square root 40 = 2 * square root 38 = 2 * square root 19
To find the answer, we need to simplify the given expressions.
1. square root 19 + square root 19:
Since both terms have the same radical, we can combine them by adding their coefficients:
1 * square root 19 + 1 * square root 19 = 2 * square root 19
2. square root 20:
We can simplify this by factoring 20 into its prime factors:
20 = 2 * 10, and 10 = 2 * 5
Therefore, square root 20 = square root (2 * 10) = square root (2 * 2 * 5)
Using the property of square roots, we can separate the radicals:
square root (2 * 2 * 5) = 2 * square root 5
3. square root 40:
Following a similar approach, we factorize 40:
40 = 8 * 5, and 8 = 2 * 2 * 2
So, square root 40 = square root (2 * 2 * 2 * 5)
Again, we split the radicals:
square root (2 * 2 * 2 * 5) = 2 * 2 * square root 5 = 4 * square root 5
4. 2 square root 38:
There's no further simplification needed for this expression.
The final answer is as follows:
2 * square root 19 + 2 * square root 19 = 4 * square root 19
square root 20 = 2 * square root 5
square root 40 = 4 * square root 5
2 square root 38 remains the same.