(-10+3\sqrt{7})+(3+12\sqrt{7})

asked by guest
on Apr 04, 2025 at 6:47 pm



You asked:

Evaluate the expression: 10+37+3+127-10 + 3 \sqrt{7} + 3 + 12 \sqrt{7}

MathBot Answer:

10+37+3+127=7+15732.68626966596885885752423630458891-10 + 3 \sqrt{7} + 3 + 12 \sqrt{7} = -7 + 15 \sqrt{7} \approx 32.68626966596885885752423630458891


10+37+3+127=10+37+3+127=(10+37)+3+127=(7+37)+127=7+157\begin{aligned}-10 + 3 \sqrt{7} + 3 + 12 \sqrt{7}&=-10 + 3 \cdot \sqrt{7} + 3 + 12 \cdot \sqrt{7}\\&=\left(-10 + 3 \cdot \sqrt{7}\right) + 3 + 12 \cdot \sqrt{7}\\&=\left(-7 + 3 \cdot \sqrt{7}\right) + 12 \cdot \sqrt{7}\\&=-7 + 15 \cdot \sqrt{7}\end{aligned}