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
CHOOSE A ANSWER CHOICE
10√21
To add 3√21 and 7√21, follow these steps:
Step 1: Write the expressions side by side:
3√21 + 7√21
Step 2: Since both terms have the same radical (√21), combine the coefficients (numbers in front of the radicals):
3 + 7 = 10
Step 3: Write the combined coefficient in front of the common radical:
10√21
Therefore, the sum of 3√21 and 7√21 is 10√21.
To add 3√21 and 7√21, we need to simplify the radicals first.
Since both radicals have the same radicand (21), we can add the coefficients (3 and 7) and keep the same radicand.
3√21 + 7√21 = (3 + 7)√21 = 10√21
So the correct answer is 10√21.