Add sqrt(19) + sqrt(19) (1 point)
sqrt(20)
sqrt(40)
2sqrt(19)
2sqrt(38)
2sqrt(19)
To find the sum of sqrt(19) + sqrt(19), we simply add the two terms together:
sqrt(19) + sqrt(19) = 2sqrt(19) (1 point)
Next, to simplify sqrt(20), we look for the largest perfect square that is a factor of 20. In this case, 4 is the largest perfect square that divides 20. Therefore, we can simplify sqrt(20) as follows:
sqrt(20) = sqrt(4 * 5) = sqrt(4) * sqrt(5) = 2 * sqrt(5) (1 point)
Similarly, for sqrt(40), we look for the largest perfect square that is a factor of 40, which is 4. We can simplify sqrt(40) as follows:
sqrt(40) = sqrt(4 * 10) = sqrt(4) * sqrt(10) = 2 * sqrt(10) (1 point)
For 2sqrt(19), there is no way to simplify it further since the square root of 19 cannot be simplified into any perfect square factors. So, 2sqrt(19) is the final answer (1 point).
Lastly, for 2sqrt(38), we try to simplify it by looking for the largest perfect square that divides 38, which is 4. We can simplify it as follows:
2sqrt(38) = 2 * sqrt(4 * 9.5) = 2 * sqrt(4) * sqrt(9.5) = 2 * 2 * sqrt(9.5) = 4 * sqrt(9.5) (1 point)
Therefore, the simplified form of 2sqrt(38) is 4sqrt(9.5).
To simplify the expression sqrt(19) + sqrt(19), we can combine the two square roots of 19.
Since both square roots are the same, we can rewrite the expression as 2 * sqrt(19).
Therefore, the simplified expression is 2sqrt(19).