Question

find the cube root of 46656 by estimation method​

Answer 1

Answer:

46656

46656 make groups of 3

46656 make groups of 3046 656

46656 make groups of 3046 656now 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

46656 make groups of 3046 656now 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 6now 046 the nearest cube to 46 is 3³ = 27

46656 make groups of 3046 656now 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 6now 046 the nearest cube to 46 is 3³ = 27so the number we get is 36

46656 make groups of 3046 656now 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 6now 046 the nearest cube to 46 is 3³ = 27so the number we get is 36cube root of 36 is 46656

Answer 2

From the given question the correct answer is:

36

Solution:

we see that

46656=2×2×2×2×2×2×3×3×3×3×3×3

Since ,2 & 3 occurs in triplet \

46656 is a perfect cube.

cube root of 46656=2×2×3×3

                                =4×9

                                =36