Add subtract multiply and or divide the numerical radicals. We have radical two times +7 radical two times what’s the answer?

1 answer

To solve the expression \( \sqrt{2} + 7\sqrt{2} \), you can combine the terms since they are like terms (both containing \( \sqrt{2} \)).

  1. \( \sqrt{2} + 7\sqrt{2} = (1 + 7)\sqrt{2} \)

  2. Combine the coefficients: \[ (1 + 7) = 8 \]

  3. So, you have: \[ 8\sqrt{2} \]

Therefore, the answer is \( 8\sqrt{2} \).