Find the cube root of the following numbers step by step. 1)5832 2)4096 Send me right answer I will make you brainliest if you send me wrong answer I will report your answer because this question is of 100 points
Answers
Answer:
1》》》》
5832
=3×3×3×3×3×3×2×2×2
=3×3×2
=18
2》》》》
Step 1: Factor 4,096
4,096 can be written as a product of its prime factors in the following way: 4,096 = 212
The factors were found in the following order:
4,096 = 2 × 2,048
2,048 = 2 × 1,024
1,024 = 2 × 512
512 = 2 × 256
256 = 2 × 128
128 = 2 × 64
64 = 2 × 32
32 = 2 × 16
16 = 2 × 8
8 = 2 × 4
4 = 2 × 2
2 = 2 × 1
Step 2: Rewrite ∛(4,096)
∛(4,096) =
∛(212) =
∛(212)
∛(212) = ∛(212)
Step 3: Simplify ∛(212)
Step 3.1 Rewrite ∛(212)
∛(212) = ∛(23) × ∛(23) × ∛(23) × ∛(23)
Step 4: Simplify ∛(212)
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 ∛(23)
Using the exponent "product rule", we know that
∛(23) = ((2)3)⅓ = 2(3×⅓) = 21 = 2
Step 4.3 Simplify ∛(23)
Using the exponent "product rule", we know that
∛(23) = ((2)3)⅓ = 2(3×⅓) = 21 = 2
Step 4.4 Simplify ∛(23)
Using the exponent "product rule", we know that
∛(23) = ((2)3)⅓ = 2(3×⅓) = 21 = 2
Final Result
∛(4,096) = 2 × 2 × 2 × 2
One real solution was found
16
Answer:
4096 is said to be a perfect cube because 16 x 16 x 16 is equal to 4096. Since 4096 is a whole number, it is a perfect cube. The nearest previous perfect cube is 3375 and the nearest next perfect cube is 4913 . 4096 is said to be a perfect cube because 16 x 16 x 16 is equal to 4096.
The principal, real, root of:
5832−−−−√3
=18
All roots:
18
−9+15.5884573i
−9−15.5884573i
5832 is a perfect cube
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