Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Add. Write your answer in simplest form.\newline35+75-3\sqrt{5} + 7\sqrt{5}

Full solution

Q. Add. Write your answer in simplest form.\newline35+75-3\sqrt{5} + 7\sqrt{5}
  1. Combine like terms: Combine the like terms 35-3\sqrt{5} and 757\sqrt{5}.\newlineIdentify the like terms which are both terms with 5\sqrt{5}.\newline35+75=(3+7)5-3\sqrt{5} + 7\sqrt{5} = (-3 + 7)\sqrt{5}
  2. Simplify expression: Simplify the expression (3+7)5(-3 + 7)\sqrt{5}.\newlineCalculate the sum inside the parentheses.\newline(3+7)5=45(-3 + 7)\sqrt{5} = 4\sqrt{5}

More problems from Add and subtract radical expressions