Question

Find the cube of 4096 by estimation method​

Answer 1

Step-by-step explanation:

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Maths

Cubes and Cube Roots

Cube Roots

Find the cube root of 4,096

MATHS

Find the cube root of 4,096

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ANSWER

Solution:-

Prime factors of 4096-

4096=2×2×2×2×2×2×2×2×2×2×2×2

4,096 can be written as a product of its prime factors in the following way:

4,096=2

12

∴

3

4096

=

3

2

12

=(2

12

)

3

1

⇒=2

12×

3

1

⇒=2

4

∴

3

4096

=2

4

=2×2×2×2=16

Hence, cube root of 4096 is 16.

Hence, the correct answer is 16.