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For the entire radical v90x^2 , state the restriction on the variable. Then express each as a mixed radical?

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1 Answer

    Assuming that the expression is sqrt(90 x2),
 
the usual  mixed radical form is   3 x sqrt(10)
 
For this form the restriction is x ≥ 0.          The entire and mixed expressions do not evaluate to the same value if  x is negative. 
 
However, we can also write the mixed radical as   3 |x| sqrt(10) .   Written this way there is no restriction.