Question

1. The cube root of any negative real number is negative.

1.1. Given any negative real number s, the cube root of ______.

1.2. For any real number s, if s is ______, then ____.

1.3. If a real number s, _____ then ______.

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Answer 1

Answer:

1. s⅓

2. positive, s½ is rational

3. negative, s½ is irrational

Answer 2

The answers for the mathematical fill-in-the-blanks are as follows:

It should be noted that "The cube root of any negative real number is negative" is a 'Universal Existential Statement'

1.1 Given any negative real number s, the cube root of s is negative.

• Since the real number s is considered negative, it is given as a Universal existential Statement that the cube root of any negative number will be negative. Therefore the cube root of s is negative when s is a negative real number.

1.2 For any real number s, if s is negative then the cube root of s is also negative.

• s belongs to a set of Real numbers. If we consider s to be negative then the ∛s is also negative.

1.3 If a real number s is negative, then ∛s is negative

• If we consider s to be a real number and if we consider the real number to be negative, then the cube root of the negative number will be negative and thus the cube root of s will be negative.

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