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How do you simplify #xsqrt a^2 + 6 sqrt a - 3sqrta#?

Answer 1

Eva Abramson

#color(magenta)(ax+3sqrta#

#xsqrta^2+6sqrta-3sqrta#

#:.=xsqrtaxxsqrta+6sqrta-3sqrta#

#:.=sqrta(xsqrta+6-3)#

#:.=sqrta(xsqrta+3)#

#:.color(magenta)(sqrtaxxsqrta=a#

#:.=xsqrtaxxsqrta+3sqrta#

#:.color(magenta)(=ax+3sqrta#

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Answer 2

Julia Adams

To simplify the expression xsqrt(a^2) + 6sqrt(a) - 3sqrt(a), we can combine the terms that have the same square root. Therefore, the simplified expression is (x + 6 - 3)sqrt(a), which further simplifies to (x + 3)sqrt(a).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.