Question

Calculate the cube root of 46656 by estimation method

Answer 1

46656

make groups of 3

046 656

now we will take 656 = the unit digit is 6 so the number will have 6 in the units place coz 6 is the only number whose cube is ending in 6

now 046 the nearest cube to 46 is 3³ = 27

so the number we get is 36

cube root of 36 is 46656

Answer 2

46656

Divide in 2 groups

Group 1          Group 2

46                                   656

46 comes between 3 cube and 4 cube

So we will take smallest number    3

The Unit Digit Of 656 Is 6. So Cube Root of 6 Is 216 . Unit Digit of  216 Is 6

So we will take number 6

Hence, 46656 cube is 36

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