((25\sqrt{5}5)(4 3\sqrt{3}3) + 7 5\sqrt{5}5)
asked by guest on Jan 15, 2025 at 12:34 pm
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MathBot Answer:
25⋅43+75=75+815≈46.636342612157862956298338879378132 \sqrt{5} \cdot 4 \sqrt{3} + 7 \sqrt{5} = 7 \sqrt{5} + 8 \sqrt{15} \approx 46.6363426121578629562983388793781325⋅43+75=75+815≈46.63634261215786295629833887937813
25⋅43+75=2⋅5⋅4⋅3+7⋅5=8⋅5⋅3+7⋅5=8⋅15+7⋅5=7⋅5+8⋅15\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}25⋅43+75=2⋅5⋅4⋅3+7⋅5=8⋅5⋅3+7⋅5=8⋅15+7⋅5=7⋅5+8⋅15