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√7
Thus,[tex]\sqrt{32} \times \sqrt{28}\times \sqrt{3}\times \sqrt{6}[/tex]=[tex]48\sqrt{7}[/tex]
