Math, asked by avniverma1803, 10 months ago

find the cube root of 9197

Answers

Answered by surbhi9774
3

Step-by-step explanation:

∛(9,197) - What Is the cubed root of 9,197 ?

This Is the same as (9,197)⅓

Step by Step solution

We attempt To simplify the cubed root Of 9,197

Step 1: Factor 9,197

9,197 can be written as a product of its prime factors in the following way: 9,197 = 17 × 541

The factors were found in the following order:

9,197 = 17 × 541

Step 2: Rewrite ∛(9,197)

∛(9,197) =

∛(17 x 541) =

∛(17) × ∛(541)

∛(17 x 541) = ∛(17) x ∛(541)

Step 3: Simplify ∛(17) x ∛(541)

Step 3.1 ∛(17) can not be further simplified

Step 3.2 ∛(541) can not be further simplified

Step 4: Simplify ∛(17) x ∛(541)

Step 4.1 Simplify ∛(171)

As per raising to the power of one: 17^1 = 17

So, we can rewrite ∛(171) = ∛(17) = 2.57128159065824

Step 4.2 Simplify ∛(5411)

As per raising to the power of one: 541^1 = 541

So, we can rewrite ∛(5411) = ∛(541) = 8.14827644936226

Final Result

∛(9,197) = 2.57128159065824 × 8.14827644936226

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