Question

Find the cube rootof 15648 through estimation​

Answer 1

Answer:

Finding cube root by estimation

Make group of 3 digit, starting from right.

The unit digit of cube root will be. Unit digit of cube root of 857375 = Unit digit of cube root of 375. Since 375 ends in 5, it's cube root will end in 5. (As 5 3 = 12 5 , 1 5 3 = 337 5 )

Now, for second group. 8 5 7. We note that. 9 3 = 729. & 10 3 = 1000. So, 729 < 857 < 1000.

Ans - 25

Step-by-step explanation:

Answer 2

Answer:

The cube root of 15648 is 25

Step-by-step explanation:

• Cube root: Cube root of a number is a value, which will produce the original number by multiplying three times.

       Example: (i)2 is the cube root of 8 because if we multiply 2 for three times then we will get 2 × 2 × 2 = 8, which is the original number.

(ii) 3 × 3 × 3 = 27, so 3 is the cube root of 27.

• Solution: Here we have to find the cube root of 15648. (by estimation)

By factorizing 15648 we can write,

          15648 = 4 × 4 × 6 × 163

                     ≈  4 × 4 × 6 × 6 × 27 [ 6 × 25 = 150, which is nearest to 163]

                    ≈ 24 × 24 × 27  ≈ 25 × 25 × 25

   If we take cube of 25 then 25 × 25 × 25 = 15,625, which is very close to 15648.

  So, we can say approximately the cube root of 15648 is 25.

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