Question

Product of 3root2*4root2*12root
32

Answer 1

Answer:

$1152 \sqrt{2}$

Step-by-step explanation:

$3 \sqrt{2 } \times 4 \sqrt{2} \times 12 \sqrt{32}$

$= 3 \times 4 \times 12 \times \sqrt{2} \times \sqrt{2 } \times \sqrt{32}$

$= 144 \times \sqrt{2} \times \sqrt{2} \times \sqrt{2 \times 16}$

$= 144 \times \sqrt{2} \times \sqrt{2} \times \sqrt{2} \times \sqrt{16}$

$= 144 \times \sqrt{2 } \times \sqrt{2} \times \sqrt{2} \times 4$

$= 144 \times 4 \times 2 \times \sqrt{2}$

$= 1152 \sqrt{2}$