Question

Multiply. 32√⋅28√⋅3√⋅6√ in simplest radical form, in the box.

Answer 1

Answer:  $48\sqrt{7}$

Step-by-step explanation:

Given expression, $\sqrt{32} \times \sqrt{28}\times \sqrt{3}\times \sqrt{6}$

= √(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,$\sqrt{32} \times \sqrt{28}\times \sqrt{3}\times \sqrt{6}$=$48\sqrt{7}$