Question

Find the cube root of 1200 step by step explanation by brainly flash I need it urgently ​

Answer 1

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Step : 1

1,200 can be written as a product of its prime factors in the following way:

1,200 = 24 × 3 × 52

The factors were found in the following order:

↣1,200 = 2 × 600

↣600 = 2 × 300

↣300 = 2 × 150

↣150 = 2 × 75

↣75 = 3 × 25

↣25 = 5 × 5

Step : 2

∛(1,200) = ∛(24 x 3 x 52) = ∛(2⁴) × ∛(3) × ∛(5²)

Step : 3

Simplify : ∛(2⁴) x ∛(3) x ∛(5²)

↣ ∛(2⁴) = ∛(2³) × ∛(2¹)

↣ ∛(2⁴) = 2 × ∛(2)

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↣ ∛(3) can not be further simplified

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↣ ∛(5²) can not be further simplified

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↣³√1200 = 2 × ³√2 × ³√3 × ³√5²

↣³√1200 = 2 × ³√2 × ³√3 × ³√25

↣³√1200 = 2 × 1.2599 × 1.4422 × 2.9240

hence

↣ ³√1200 = 10.625

Note: You have to learn the values of 1 to 20 cube roots from cube root table.

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