SOLUTION: Variable in the Radicand?
I've been staring at this for just about an hour now, and for some reason my brain just won't process it. I'd love some help on this!
Look at the f
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Question 1119299: Variable in the Radicand?
I've been staring at this for just about an hour now, and for some reason my brain just won't process it. I'd love some help on this!
Look at the following expression. Are there any values of x for which the expression is not defined under the set of real numbers? Explain your reasoning.
4/ square root of (x+2)
Rewrite the following expression by rationalizing the denominator.
4/ square root of (x+2)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Expressions with zero denominators do not exist (DNE). In other words, they do not represent any real number. Expressions with radicands (expressions under a radical sign) that are less than zero are complex numbers and are not included in the set of real numbers. Hence, in order for the given expression to represent a real value, you must exclude values for 
that are the elements of the set:
Which is to say:
To rationalize the denominator in an expression of the form 
, multiply the fraction by 1 in the form of 
, thus:
\(\frac{\sqrt{b}}{\sqrt{b}}\)\ =\ \frac{a\sqrt{b}}{b})
John
My calculator said it, I believe it, that settles it
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