Question

Find the cube root :54872 with whole solution

Answer 1

Answer:

38

Step-by-step explanation:

i can do it with estimation method

the number is 54872 so will take the last three digits i.e. 872. last digit is 2 and it's cube is eight so the unit digit of the cube root will be 8 now coming to tens place we will take 54 what is the smaller cube than 54 that is 27 which is the cube of 3 so the tens place will be 3. so the cube root will be 38

hope it helps you

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Answer 2

∛(54,872) - What Is the cubed root of 54,872 ?

This Is the same as (54,872)⅓

Step by Step solution

We attempt To simplify the cubed root Of 54,872

Step 1: Factor 54,872

54,872 can be written as a product of its prime factors in the following way: 54,872 = 23 × 193

The factors were found in the following order:

54,872 = 2 × 27,436

27,436 = 2 × 13,718

13,718 = 2 × 6,859

6,859 = 19 × 361

361 = 19 × 19

Step 2: Rewrite ∛(54,872)

∛(54,872) =

∛(23 x 193) =

∛(23) × ∛(193)

∛(23 x 193) = ∛(23) x ∛(193)

Step 3: Simplify ∛(23) x ∛(193)

Step 3.1 ∛(23) shall be further simplified in the next step

Step 3.2 ∛(193) shall be further simplified in the next step

Step 4: Simplify ∛(23) x ∛(193)

Step 4.1 Simplify ∛(23)

Using the exponent "product rule", we know that

∛(23) = ((2)3)⅓ = 2(3×⅓) = 21 = 2

Step 4.2 Simplify ∛(193)

Using the exponent "product rule", we know that

∛(193) = ((19)3)⅓ = 19(3×⅓) = 191 = 19

Final Result

∛(54,872) = 2 × 19

One solution

38