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Which best explains why the expression plus or minus StartRoot b squared minus 4 a c EndRoot cannot be rewritten as b plus or minus StartRoot negative 4 a c EndRoot during the next step?

Negative values, like −4ac, do not have a square root.
The ± symbol prevents the square root from being evaluated.
The square root of terms separated by addition and subtraction cannot be calculated individually.
The entire term b2 − 4ac must be divided by 2a before its square root can be determined.

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Answer:

C) The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

sqrt(b² - 4ac) is not equal to

b - sqrt(4ac)

Because when you square b - sqrt(4ac), it's not b² - 4ac..

(b- sqrt(4ac))² = b² - 2bsqrt(4ac) + 4ac

The expression ± [tex]\sqrt{b^{2}-4ac }[/tex] can't be written as [tex]b[/tex] ± [tex]\sqrt{b^{2} -4ac}[/tex] because the square root of terms separated by addition and subtraction cannot be calculated individually.

What is square root?

A factor of a number that, when multiplied by itself, gives the original number is called square root.

According to the given question.

We have a expression ±[tex]\sqrt{b^{2} -4ac}[/tex].

The above expression contains two terms under the square root sign or radical.

And we know that we can't separate any terms from the square root sign unit we make it a single term. Therefore,

± [tex]\sqrt{b^{2}-4ac } \neq b[/tex] ± [tex]\sqrt{4ac}[/tex]

Hence, the expression ± [tex]\sqrt{b^{2}-4ac }[/tex] can't be written as [tex]b[/tex] ± [tex]\sqrt{b^{2} -4ac}[/tex] because the square root of terms separated by addition and subtraction cannot be calculated individually.

Find out more information about square root here:

https://brainly.com/question/3120622

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