Question

what is the cube root of -2744​

Answer 1

Answer:

-20,661,046,784

Answer 2

$\huge\bf\pink{ᴀɴsᴡᴇʀ࿐}$

ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ-:

Given : Number -2744.

To find : The cube root of the number by prime factorization method?

Solution$\pink\longrightarrow$

Prime factorization is dividing the number by least prime number.

2 | 2744

2 | 1372

2 | 686

7 | 343

7 | 49

7 | 7

  | 1

$\pink\longrightarrow$2744 = 2×2×2×7×7×7

$\pink\longrightarrow$2744 = 2³×7⁴

$\pink\longrightarrow$2744 = 14³

$\pink\longrightarrow$-2744 = -14³

Therefore, The cube root of -2744 is -14³.

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