√50-√18÷2

asked by guest
on Nov 24, 2024 at 2:55 am



You asked:

Evaluate the expression: \(\sqrt{50} - \frac{\sqrt{18}}{2}\)

MathBot Answer:

\[\sqrt{50} - \frac{\sqrt{18}}{2} = \frac{7 \sqrt{2}}{2} \approx 4.94974746830583267080591053473394\]

\[\begin{aligned}\sqrt{50} - \frac{\sqrt{18}}{2}& = \sqrt{50} - \sqrt{18} \cdot \frac{1}{2}\\& = 5 \cdot \sqrt{2} - \sqrt{18} \cdot \frac{1}{2}\\& = 5 \cdot \sqrt{2} - 3 \cdot \sqrt{2} \cdot \frac{1}{2}\\& = 5 \cdot \sqrt{2} - \frac{3}{2} \cdot \sqrt{2}\\& = \frac{7}{2} \cdot \sqrt{2}\end{aligned}\]

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