Q&A for How to Add Square Roots

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  • Question
    How do I add the square root of 5 and 212?
    Donagan
    Top Answerer
    √5 + 212 = 2.236 + 212 = 214.236.
  • Question
    How would I add two radicals that are prime numbers?
    Donagan
    Top Answerer
    All you can do is evaluate each radical individually and then add them together.
  • Question
    root(5) + root(7)? show me the method using surds instead of converting to decimal
    Community Answer
    If you don't want to deal with decimal numbers, you have to leave it as √5 + √7. There is nothing else to do, since 5 and 7 are both prime numbers.
  • Question
    How do I add the square root of 7 plus the square root of 2?
    Community Answer
    √7 is about 2.7. √2 is approximately 1.4. The sum is approximately 4.1.
  • Question
    How do you add or subtract √5+√5?
    Community Answer
    Think of it as 1√5 + 1√5 = 2√5 or as 1√5 - 1√5 = 0√5 = 0.
  • Question
    How could I add 3√5 and 3√2?
    Community Answer
    Because √5 and √2 do not combine easily, you could factor out the 3 and leave it as 3(√5 + √2), or you could evaluate the two square roots, add them together and then multiply by 3. You could also evaluate √5 and multiply that by 3, then evaluate √2 and multiply that by 3, and then add the two products together. Each of these methods results in the same answer.
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