Question

Explain Making use of the cube root table by find the cube root of 11005.​

Answer 1

Answer:

Step-by-step explanation:

Factor 11,005

11,005 can be written as a product of its prime factors in the following way: 11,005 = 5 × 31 × 71

The factors were found in the following order:

11,005 = 5 × 2,201

2,201 = 31 × 71

Step 2: Rewrite ∛(11,005)

∛(11,005) =

∛(5 x 31 x 71) =

∛(5) × ∛(31) × ∛(71)

∛(5 x 31 x 71) = ∛(5) x ∛(31) x ∛(71)

Step 3: Simplify ∛(5) x ∛(31) x ∛(71)

Step 3.1 ∛(5) can not be further simplified

Step 3.2 ∛(31) can not be further simplified

Step 3.3 ∛(71) can not be further simplified

Step 4: Simplify ∛(5) x ∛(31) x ∛(71)

Step 4.1 Simplify ∛(51)

As per raising to the power of one: 5^1 = 5

So, we can rewrite ∛(51) = ∛(5) = 1.7099759466767

Step 4.2 Simplify ∛(311)

As per raising to the power of one: 31^1 = 31

So, we can rewrite ∛(311) = ∛(31) = 3.14138065239139

Step 4.3 Simplify ∛(711)

As per raising to the power of one: 71^1 = 71

So, we can rewrite ∛(711) = ∛(71) = 4.14081774942285

Final Result

∛(11,005) = 1.7099759466767 × 3.14138065239139 × 4.14081774942285

One real solution was found

22.2431700620704