`root(3)(1331)xx root(3)(216)+root(3)(729)+root(3)(64)` is equal to

Options

A. `13.62`
B. 79
C. `14.82`
D. `90.88`

Answer

To solve the expression \( \sqrt[3]{1331} \times \sqrt[3]{216} + \sqrt[3]{729} + \sqrt[3]{64} \), we will evaluate each cube root step by step.

### Step 1: Calculate \( \sqrt[3]{1331} \)

First, we need to factor 1331. We can see that:

\[ 1331 = 11 \times 11 \times 11 = 11^3 \]

Thus,

\[ \sqrt[3]{1331} = \sqrt[3]{11^3} = 11 \]

### Step 2: Calculate \( \sqrt[3]{216} \)

Next, we factor 216:

\[ 216 = 6 \times 6 \times 6 = 6^3 \]

So,

\[ \sqrt[3]{216} = \sqrt[3]{6^3} = 6 \]

### Step 3: Calculate \( \sqrt[3]{729} \)

Now, we factor 729:

\[ 729 = 9 \times 9 \times 9 = 9^3 \]

Thus,

\[ \sqrt[3]{729} = \sqrt[3]{9^3} = 9 \]

### Step 4: Calculate \( \sqrt[3]{64} \)

Finally, we factor 64:

\[ 64 = 4 \times 4 \times 4 = 4^3 \]

So,

\[ \sqrt[3]{64} = \sqrt[3]{4^3} = 4 \]

### Step 5: Substitute the values back into the expression

Now we can substitute the values we calculated back into the expression:

\[ \sqrt[3]{1331} \times \sqrt[3]{216} + \sqrt[3]{729} + \sqrt[3]{64} = 11 \times 6 + 9 + 4 \]

### Step 6: Calculate the final result

Now we perform the multiplication and addition:

\[ 11 \times 6 = 66 \]

Adding the other terms:

\[ 66 + 9 + 4 = 66 + 13 = 79 \]

### Final Answer:

Thus, the value of the expression is

\[ \boxed{79} \]