Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Add. Write your answer in simplest form.\newline32+92-3\sqrt{2} + 9\sqrt{2}

Full solution

Q. Add. Write your answer in simplest form.\newline32+92-3\sqrt{2} + 9\sqrt{2}
  1. Combine Like Terms: Combine the like terms 32-3\sqrt{2} and 929\sqrt{2}. Since both terms have the same radical part, 2\sqrt{2}, we can add the coefficients directly. 32+92=(3+9)2-3\sqrt{2} + 9\sqrt{2} = (-3 + 9)\sqrt{2}
  2. Perform Addition of Coefficients: Perform the addition of the coefficients.\newline3+9=6-3 + 9 = 6\newlineSo, the expression becomes 626\sqrt{2}.
  3. Check for Simplification: Check for any possible simplification.\newlineThe term 626\sqrt{2} is already in its simplest form since 66 is an integer and 2\sqrt{2} is an irrational number that cannot be simplified further.

More problems from Add and subtract radical expressions