3 √50 - √8

asked by guest
on Mar 28, 2025 at 5:57 pm



You asked:

Evaluate the expression: 350−83 \sqrt{50} - \sqrt{8}

MathBot Answer:

350−8=132≈18.384776310850235634421953414726083 \sqrt{50} - \sqrt{8} = 13 \sqrt{2} \approx 18.38477631085023563442195341472608

350−8=3⋅50−8=3⋅5⋅2−8=15⋅2−8=15⋅2−2⋅2=13⋅2\begin{aligned}3 \sqrt{50} - \sqrt{8}&=3 \cdot \sqrt{50} - \sqrt{8}\\&=3 \cdot 5 \cdot \sqrt{2} - \sqrt{8}\\&=15 \cdot \sqrt{2} - \sqrt{8}\\&=15 \cdot \sqrt{2} - 2 \cdot \sqrt{2}\\&=13 \cdot \sqrt{2}\end{aligned}

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