Simplify 5832 3 1296 4 × 3 54 × 168

The correct option is 28.

Let us simplify the given mathematical expression step-by-step:

$\frac{\sqrt[3]{5832}}{\sqrt[4]{1296}}\times \frac{3}{54}\times 168$

Step 1: Simplify the radicals in the first fraction.

First, find the cube root of 5832:

Since 18 × 18 × 18 = 5832, we have:

$\sqrt[3]{5832}=18$

Next, find the fourth root of 1296:

Since 6 × 6 × 6 × 6 = 1296, we have:

$\sqrt[4]{1296}=6$

Now, substitute these radical values back into the first fraction:

$\frac{\sqrt[3]{5832}}{\sqrt[4]{1296}}=\frac{18}{6}=3$

Step 2: Simplify the second fraction.

Simplify the fraction 3 / 54 by dividing both the numerator and denominator by 3:

$\frac{3}{54}=\frac{1}{18}$

Step 3: Combine all terms and calculate the final result.

Substitute the simplified parts back into the complete expression:

$3\times \frac{1}{18}\times 168$

Multiply 3 by (1 / 18):

$3\times \frac{1}{18}=\frac{3}{18}=\frac{1}{6}$

Now multiply (1 / 6) by 168:

$\frac{1}{6}\times 168=\frac{168}{6}=28$

Hence, the simplified value of the given expression is 28.