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true or false: \\(sqrt{-49} = -7\\) because \\(-7 \\times -7 = -49\\) \…

Question

true or false: \\(sqrt{-49} = -7\\) because \\(-7 \times -7 = -49\\)
\\(\circ\\) true
\\(\circ\\) false

Explanation:

Brief Explanations

The square root of a negative number is not a real number, and $-7 \times -7 = 49$, not $-49$. The statement incorrectly claims $\sqrt{-49} = -7$ based on a false multiplication result, and square roots of negative numbers are not defined in the real number system this way.

Answer:

False