What is the smallest number 3645
by which be multiplied so that the product becomes a perfect cube
Answers
Answered by
13
first take LCM of 3645
multiples are 3×3×3×3×3×3×5
we need to make groups of 3 so
3×3×3 3×3×3 5 is left so we need two 5 so 5×5=25
we need to multiply 25 on both sides
3645×25=3×3×3×3×3×3×5×5×5
91125=(3×3×3)'. ('=3)
91125=(27)'
cuberoot91125=27ans.
multiples are 3×3×3×3×3×3×5
we need to make groups of 3 so
3×3×3 3×3×3 5 is left so we need two 5 so 5×5=25
we need to multiply 25 on both sides
3645×25=3×3×3×3×3×3×5×5×5
91125=(3×3×3)'. ('=3)
91125=(27)'
cuberoot91125=27ans.
Answered by
3
Answer:
the answer is 25
Step-by-step explanation:
because multiplied by itself for three times is the answer 25
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