Is 1188 a perfect cube if not by which smallest natural number should 1188?

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Harshit Singh,

8 months ago

Grade:12th pass

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1 Answers

Pawan Prajapati

askIITians Faculty 60796 Points

8 months ago

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Class 8

Math

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Cubes And Cube Roots

Question

Is 1188 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?

Viewed by: 1220 students

Solutions

(1)

Solution:
Thus, is not a perfect cube.
If we divide it by it will be a perfect cube.

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What is the smallest number that must divide 1188 to make it a perfect cube?

118844 = 27 = 33.

Is 1296 a perfect cube or not if not find the smallest natural number by which 1296 must be divided so that the quotient is a perfect cube?

Here we have to determine the smallest number which should be divided by 1296, such that it will be a perfect cube. When you divide the number 1296 by 6 then it will be a perfect cube. So, the correct answer is “6”.

Is 1188 a perfect cube if not by which smallest natural number should 1188 be divided so that the quotient is a perfect cube also find the cube root of the quotient?

We see that 1188 = 2 × 2 × 3 × 3 × 3 × 11 Since 2 & 5 does not occur in triplets, ∴ 1188 is not a perfect cube. To make it a perfect cube, We divide by 2 × 2 × 11 = 44 1188/44= (2 × 2 × 3 × 3 × 3 × 11)/44 27 = 3 × 3 × 3 Since all factor occurs in triplets. ∴ 27 is a perfect cube.

Is 19208 a perfect cube if not then by which smallest natural number should 19208?

Answer. Hence, 49 what is the smallest number by which 19208 should be multiplied so that the product is a perfect cube.

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