I'm guessing that there is no restriction because the expression is positive? I'd appreciate any steps for clear understanding

Thanks in advance

I'm guessing that there is no restriction because the expression is positive? I'd appreciate any steps for clear understanding

Thanks in advance

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Alexandria, VA

Assuming that the expression is sqrt(90 x^{2}),

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.

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