Please answer fast for brainest ...find the value of (3375)⅓ in steps please
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Answered by
13
find using prime factorisation.
3375 = 3×3×3×5×5×5
3375=3^3 × 5^3
For cube root cancel the power 3
so the answer is 5×3 = 15
3375 = 3×3×3×5×5×5
3375=3^3 × 5^3
For cube root cancel the power 3
so the answer is 5×3 = 15
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AnneOnymous:
Thank you
Answered by
1
Concept
- In mathematics, the cube root of the number x is the number y such that y³ = x.
- Every non-zero real number has exactly one real cube root and a pair of complex conjugate cube roots, and every non-zero complex number has three different complex cube roots.
Given
The (3375)⅓ is given
Find
The cube root of (3375)⅓
Solution
The steps are as follow:
- The factorisation of 3375 is given in an image below
- By doing factorisation of 3374 we get 3375= 3*3*3*5*5*5
- We will make the pair of three numbers and take them as one
- So 3375 = 3*5 = 15
Hence the value of (3375)⅓ will be 15
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