5 √50 -2 ✓18 +9 √32

asked by guest
on Mar 28, 2025 at 6:19 pm



You asked:

Evaluate the expression: 550−218+9325 \sqrt{50} - 2 \sqrt{18} + 9 \sqrt{32}

MathBot Answer:

550−218+932=552≈77.781745930520227684092879831533395 \sqrt{50} - 2 \sqrt{18} + 9 \sqrt{32} = 55 \sqrt{2} \approx 77.78174593052022768409287983153339

550−218+932=5⋅50−2⋅18+9⋅32=5⋅5⋅2−2⋅18+9⋅32=25⋅2−2⋅18+9⋅32=25⋅2−2⋅3⋅2+9⋅32=25⋅2−6⋅2+9⋅32=25⋅2−6⋅2+9⋅4⋅2=25⋅2−6⋅2+36⋅2=19⋅2+36⋅2=55⋅2\begin{aligned}5 \sqrt{50} - 2 \sqrt{18} + 9 \sqrt{32}&=5 \cdot \sqrt{50} - 2 \cdot \sqrt{18} + 9 \cdot \sqrt{32}\\&=5 \cdot 5 \cdot \sqrt{2} - 2 \cdot \sqrt{18} + 9 \cdot \sqrt{32}\\&=25 \cdot \sqrt{2} - 2 \cdot \sqrt{18} + 9 \cdot \sqrt{32}\\&=25 \cdot \sqrt{2} - 2 \cdot 3 \cdot \sqrt{2} + 9 \cdot \sqrt{32}\\&=25 \cdot \sqrt{2} - 6 \cdot \sqrt{2} + 9 \cdot \sqrt{32}\\&=25 \cdot \sqrt{2} - 6 \cdot \sqrt{2} + 9 \cdot 4 \cdot \sqrt{2}\\&=25 \cdot \sqrt{2} - 6 \cdot \sqrt{2} + 36 \cdot \sqrt{2}\\&=19 \cdot \sqrt{2} + 36 \cdot \sqrt{2}\\&=55 \cdot \sqrt{2}\end{aligned}

+ Submit Question