√50-√18÷√2

asked by guest
on Nov 24, 2024 at 2:58 am



You asked:

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

MathBot Answer:

\[\sqrt{50} - \frac{\sqrt{18}}{\sqrt{2}} = -3 + 5 \sqrt{2} \approx 4.07106781186547524400844362104849\]

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

+ Submit Question