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Add 3√21 + 7√21 .(1 point)
To add 3√21 + 7√21, we can combine the like terms. Since both terms have the same radical (√21), we can add the coefficients (numbers in front) together.
The coefficient of √21 in the first term is 3, and in the second term is 7. So, adding them gives us:
3√21 + 7√21 = (3 + 7)√21 = 10√21
Therefore, the sum of 3√21 + 7√21 is 10√21.
The coefficient of √21 in the first term is 3, and in the second term is 7. So, adding them gives us:
3√21 + 7√21 = (3 + 7)√21 = 10√21
Therefore, the sum of 3√21 + 7√21 is 10√21.
Add √19 + √19 .(1 point)
To add √19 + √19, we can combine the like terms. Both terms have the same radical (√19), so we just need to add the coefficients.
The coefficient of √19 in the first term is 1, and in the second term is also 1. Therefore, adding them gives us:
√19 + √19 = (1 + 1)√19 = 2√19
The sum of √19 + √19 is 2√19.
The coefficient of √19 in the first term is 1, and in the second term is also 1. Therefore, adding them gives us:
√19 + √19 = (1 + 1)√19 = 2√19
The sum of √19 + √19 is 2√19.
Add ^3√22 + 3√22 + √22
To add ^3√22 + 3√22 + √22, we can combine the like terms. All three terms have the same radical (√22), so we add the coefficients together.
The coefficient of √22 in the first term is 1, in the second term is 3, and in the third term is 1. Adding them gives us:
^3√22 + 3√22 + √22 = (1 + 3 + 1)√22 = 5√22
Therefore, the sum of ^3√22 + 3√22 + √22 is 5√22.
The coefficient of √22 in the first term is 1, in the second term is 3, and in the third term is 1. Adding them gives us:
^3√22 + 3√22 + √22 = (1 + 3 + 1)√22 = 5√22
Therefore, the sum of ^3√22 + 3√22 + √22 is 5√22.
Subtract 8√23 - √23
To subtract 8√23 - √23, we can combine the like terms. Both terms have the same radical (√23), so we just need to subtract the coefficients.
The coefficient of √23 in the first term is 8, and in the second term is 1. Therefore, subtracting them gives us:
8√23 - √23 = (8 - 1)√23 = 7√23
Therefore, the difference between 8√23 and √23 is 7√23.
The coefficient of √23 in the first term is 8, and in the second term is 1. Therefore, subtracting them gives us:
8√23 - √23 = (8 - 1)√23 = 7√23
Therefore, the difference between 8√23 and √23 is 7√23.
Subtract 7√6 - 5√6
To subtract 7√6 - 5√6, we can combine the like terms. Both terms have the same radical (√6), so we just need to subtract the coefficients.
The coefficient of √6 in the first term is 7, and in the second term is 5. Therefore, subtracting them gives us:
7√6 - 5√6 = (7 - 5)√6 = 2√6
Therefore, the difference between 7√6 and 5√6 is 2√6.
The coefficient of √6 in the first term is 7, and in the second term is 5. Therefore, subtracting them gives us:
7√6 - 5√6 = (7 - 5)√6 = 2√6
Therefore, the difference between 7√6 and 5√6 is 2√6.