Simplifying , , and
To simplify square roots without variables, identify the counting number whose square equals the radicand, and apply the appropriate sign:
ⓐ : Since , the number is the positive value whose square equals . Therefore, .
ⓑ : Since , the number is the positive value whose square equals . Therefore, .
ⓒ : First, evaluate the principal square root. Since , . The negative sign in front of the radical instructs us to take the opposite of the principal square root. Therefore, .
Familiarity with perfect squares makes this process quick and straightforward.
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