Find the smallest number by which 1944 must be divided to get a perfect cube.
Answers
Step-by-step explanation:
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Answer:
2(six)
Step-by-step explanation:
There is method called PRIME FACTORISATION METHOD
In this method we have to find factors of the number and group them
Let us do this in steps
Step 1: 1944=2x2x2x3x3x3x3x3
Step 2: 1944=(group them as two in a set)
=(2x2)(3x3)(3x3)x3x2
Step 3:Here 2 and 3 are not grouped so we have to divide with 2x3
So,2x3=6,
1944 should be divided by 6 then we will get perfect square
lf we will divide then 1944 ÷6=(2x2)(3x3)(3x3)x3x2÷6
then,1944÷6=(2x2)x(3x3)x(3x3)
Take only one number from the Bracket
square root of 1944÷6=2x3x3
square root of 324=18
So,1944 should should be divided by 6
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