Is 1188 a perfect cube number? If not by which smallest natural number should 1188 be divided so that the quotient is a perfect cube number. Also find the cube root of the new cube number.
Answers
Answered by
94
2|1188
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2|594
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3|297
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3|99
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3|33
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11|11
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1
∴, 1188=2×2×3×3×3×11
We have triplets of 3 and 11 and 4 are the single ones.
Thus 1188 is not a perfect cube and it has to be divided by 44.
1188÷44=27=3³
∛27=3
--------
2|594
--------
3|297
-------
3|99
-------
3|33
-------
11|11
--------
1
∴, 1188=2×2×3×3×3×11
We have triplets of 3 and 11 and 4 are the single ones.
Thus 1188 is not a perfect cube and it has to be divided by 44.
1188÷44=27=3³
∛27=3
Answered by
22
Thus 1188 is not the perfect cube
To get perfect cube we have to divide 44 by 1188 we will get 27 then we have to do the cube root of 27 then the answer is 3
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