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Q.

Match the questions given in column 1 with the correct answers given in column 2.

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a

12×12×12

,

14×14×14

,

17×17×17

b

4913

,

1728

,

2744

answer is B, C, A.

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Detailed Solution

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The cube root of any perfect cube number can be found by prime factorisation.

For example, the cube root of 8 can be found as follows:

Let us factorise 8,

28
24
22
 1

So, 8 = 2×2×2

So, 83=2×2×23 = 2

Similarly, the cube roots of 4913,1728 and 2744 are:

49133=17×17×173=17

17283=12×12×123=12

27443=14×14×143=14

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