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**sologuitar****Member**- Registered: 2022-09-19
- Posts: 467

College Algebra

Section R.2

Michael Sullivan introduces the idea of square roots on page 24.

According to Sullivan:

sqrt{ a^2 } = | a |, where "a" is any real number.

Sample:

sqrt{ x^2 } = | x |.

Why is the answer the absolute value of x and not simple x?

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 10,588

Because x could be negative and he is trying to define a unique positive root.

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**sologuitar****Member**- Registered: 2022-09-19
- Posts: 467

Are you saying that the sqrt{ x^(2) } = -x or x?

To assure a positive x, we place the variable x inside absolute value bars.

Yes?

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 10,588

Yes.

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**sologuitar****Member**- Registered: 2022-09-19
- Posts: 467

Thank you, Bob.

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