((25\sqrt{5})(4 3\sqrt{3}) + 7 5\sqrt{5})

asked by guest
on Jan 15, 2025 at 12:34 pm



You asked:

Evaluate the expression: 2543+752 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5}

MathBot Answer:

2543+75=75+81546.636342612157862956298338879378132 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5} = 7 \sqrt{5} + 8 \sqrt{15} \approx 46.63634261215786295629833887937813


2543+75=2543+75=853+75=815+75=75+815\begin{aligned}2 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5}&=2 \cdot \sqrt{5} \cdot 4 \cdot \sqrt{3} + 7 \cdot \sqrt{5}\\&=8 \cdot \sqrt{5} \cdot \sqrt{3} + 7 \cdot \sqrt{5}\\&=8 \cdot \sqrt{15} + 7 \cdot \sqrt{5}\\&=7 \cdot \sqrt{5} + 8 \cdot \sqrt{15}\end{aligned}