Find the cube root of 2744.

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answer is A.

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Detailed Solution

Concept- Let's first assume that 2744 equals a. To discover the cube root of 2744, factorize it first, then look for the cube root s

.
Take the value a = 2744.
Thus,

………(1)
We shall first decompose 2744 into its component parts as shown below. We will now employ the factorization method, which is:

We can also write it as,

.
By putting the value of 2744 in equation (i), we get

We know that

.
By applying this in the above equation, we get,

We know that

. By applying this in the above equation, we get,

So, we get

Hence, [22]the correct answer is option 1.

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