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MATH SOLVE
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Multiply. 32√⋅28√⋅3√⋅6√ in simplest radical form, in the box.
4 months ago
Q:
Multiply. 32√⋅28√⋅3√⋅6√ in simplest radical form, in the box.
Accepted Solution
A:
Answer: [tex]48\sqrt{7}[/tex] Step-by-step explanation:Given expression, [tex]\sqrt{32} \times \sqrt{28}\times \sqrt{3}\times \sqrt{6}[/tex]= √(4×8)×√(4×7)×√3×√(3×√2) = √4×√8×√4×√7×√3×√3×√2 ( because √(m×n)=√m×√n)=√4×√4×√8×√2×√7×√3×√3=4×√(4×2)×√2×√7×3=4×√4×√2×√2×√7×3=4×2×2×√7×3=48√7Thus,[tex]\sqrt{32} \times \sqrt{28}\times \sqrt{3}\times \sqrt{6}[/tex]=[tex]48\sqrt{7}[/tex]