Add 3√21 + 7√21 .(1 point)
To add 3√21 and 7√21, you can combine the coefficients and keep the same radical term:
3√21 + 7√21 = (3 + 7)√21 = 10√21
Therefore, 3√21 + 7√21 = 10√21.
To add 3√21 and 7√21, we need to combine the coefficients and keep the square root term the same.
The coefficient of the first term is 3, and the coefficient of the second term is 7.
So, 3√21 + 7√21 = (3 + 7)√21 = 10√21.
Therefore, the sum of 3√21 and 7√21 is 10√21.
To solve this problem, you need to remember the properties of radicals and how to add like terms.
Step 1: Identify the like terms.
In this case, the terms 3√21 and 7√21 both have the same radical, which is √21. Since they have the same radical, they can be considered like terms.
Step 2: Add the coefficients of the like terms.
The coefficients of the like terms are 3 and 7. To add them, simply add the numbers: 3 + 7 = 10.
Step 3: Combine the radical and the coefficient.
The radical, which is √21, stays the same. Then, bring down the coefficient that you obtained from step 2, which is 10. Therefore, the answer is 10√21.
So, 3√21 + 7√21 = 10√21.