Question

please solve fast last fast and third part only​

Answer 1

Answer:

3=no

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Answer 2

i) 1728 = The number 1728 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. On combining the prime factors in groups of 3 gives 12. So, the cube root of 1728 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3) = 12 (perfect cube).

ii) 5832 = By prime factorization method, we get

5832 = 3 × 3 × 3 × 3 × 3 × 3 × 2 × 2 × 2

Taking the cube root on both the side, we get

3√5832 = 3√3 × 3 × 3 × 3 × 3 × 3 × 2 × 2 × 2

3√5832 =3 × 3 × 2

3√5832 = 18

iii) 13824 = In order to find the prime factorization of the number, we continuously divide the number with prime numbers. Further simplifying the RHS and writing it in the form of a cube. Hence, the cube root of 13824 is 24

iv) 59319 =59319 is said to be a perfect cube because 39 x 39 x 39 is equal to 59319. Since 59319 is a whole number, it is a perfect cube

Step-by-step explanation:

A perfect cube is a number which is equal to the number, multiplied by itself, three times. ... Therefore, if we take out the cube root of a perfect cube, we get a natural number and not a fraction.