Question

What are all the square roots for 49/4?

Answer 1

Answer:

  +7/2, -7/2

Step-by-step explanation:

Every number has two (2) square roots. 49/4 is a positive ratio of two square numbers, so the square roots are the positive and negative ratio of the roots of those square numbers.

  ±√(49/4) = ±(√49)/(√4) = ±7/2

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Comment on math symbols

The square root symbol (√) is generally interpreted to mean the positive, or principal square root. That is why we put the plus/minus (±) symbol in front of it when we're talking about both square roots.