Add 3√21 + 7√21.(1 point)
Responses
10√21
10 Start Root 21 End Root
10√42
10 Start Root 42 End Root
√52
Start Root 52 End Root
√24 + √28
Start Root 24 End Root plus Start Root 28 End Root
None of the given responses are correct. The correct answer is 10√21 + 21√21, which simplifies to 31√21.
To add 3√21 and 7√21, you can combine the coefficients and keep the same radicand. So, 3√21 + 7√21 = 10√21.
To add √21 + 7√21, we can first simplify the expression by combining like terms. In this case, the terms have the same radical (√21), so we can combine them by adding their coefficients.
The coefficient of √21 is 1, and the coefficient of 7√21 is 7. Adding these coefficients gives us 1 + 7 = 8.
So, √21 + 7√21 simplifies to 8√21.