Subtract 11sqrt19-5sqrt19.
To subtract 11sqrt(19) from 5sqrt(19), choose the expression with the larger coefficient, which in this case is 11sqrt(19).
Now subtract the expression with the smaller coefficient from the expression with the larger coefficient:
11sqrt(19) - 5sqrt(19)
Since both expressions have the same radicand (sqrt(19)), subtract the coefficients:
(11 - 5)sqrt(19)
The coefficient in front of the square root is 6, so the final answer is:
6sqrt(19)
To subtract the expressions 11√19 and 5√19, we can simply combine like terms. In this case, both terms have the same radical (√19).
The steps to follow are as follows:
Step 1: Write down both terms: 11√19 and -5√19.
Step 2: Add the coefficients (numbers in front of the radical). In this case, 11 - 5 = 6.
Step 3: Write down the common radical (√19).
Putting it all together, we find that:
11√19 - 5√19 = 6√19.
Therefore, the result of subtracting 11√19 and 5√19 is 6√19.
To subtract the expressions 11√19 and 5√19, we can simply combine the numerical coefficients and keep the square root of 19 unchanged.
Therefore, 11√19 - 5√19 = (11 - 5)√19 = 6√19.
So, the simplified difference is 6√19.