Question

Which one of the following are perfect cube 30 ,343, 1000, 3087

Answer 1

Answer:

343,1000 are the perfect cube of 7 and 10 respectively

Step-by-step explanation:

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Answer 2

Step 1 : Find the prime factors of 343 (343=7×7×7)

Step 2 : group the factors of 343 in a pair of three and write in the form of cubes ( 343 = 7 × 7 × 7 , 343 = 73)

Step 3 : apply cube root to both the sides of the above expression to take out the term in cubes.

3√343 = 3√(73) So, here the cube root is cancelled by the cube of 7.

Hence, 3√343 = 7

Hence, the value of cube root of 343 is 7.

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