((x^2)+x-3)/(2((x^2)+x-3)^(1/2)) + ((x^2)+x-3)^(1/2)

asked by guest
on Nov 25, 2024 at 9:52 pm



You asked:

Evaluate the expression: \(\frac{{x}^{2} + x - 3}{2 {\left( {x}^{2} + x - 3 \right)}^{\frac{1}{2}}} + {\left( {x}^{2} + x - 3 \right)}^{\frac{1}{2}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{{x}^{2} + x - 3}{2 {\left( {x}^{2} + x - 3 \right)}^{\frac{1}{2}}} + {\left( {x}^{2} + x - 3 \right)}^{\frac{1}{2}} = \frac{3 \sqrt{x^{2} + x - 3}}{2} \)

Expanded

\[\frac{{x}^{2} + x - 3}{2 {\left( {x}^{2} + x - 3 \right)}^{\frac{1}{2}}} + {\left( {x}^{2} + x - 3 \right)}^{\frac{1}{2}} = \frac{3 \sqrt{x^{2} + x - 3}}{2}\]

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