Question

2000 is multiplied by the smallest number so that the result is a perfect cube. What is the resulting perfect cube?

Answer 1

Given :- 2000 is multiplied by the smallest number so that the result is a perfect cube. What is the resulting perfect cube?

Answer :-

we know that,

• A cube must be pair of 3 prime number multiple .

so,

→ 2000 = 2 * 2 * 2 * 2 * 5 * 5 * 5

or,

→ 2000 = (2 * 2 * 2) * (5 * 5 * 5) * 2 .

as we can see that,

• 2 is in pair of 3 .
• 5 is also in pair of 3 .
• but one 2 is not .

then, in order for a perfect cube , we must make it in pair of 3 .

therefore,

→ 2000 * 2 * 2 = (2 * 2 * 2) * (5 * 5 * 5) * (2 * 2 * 2)

→ 8000 = (2 * 2 * 2) * (5 * 5 * 5) * (2 * 2 * 2)

hence,

• smallest multiplied number = 2 * 2 = 4 .
• Resulting perfect cube = 8000 .

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(3) निम्न के स्थानीय मान लिखिये-

(अ)43.24

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(द) 178.34

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Answer 2

Answer:

answer is 4

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