Find the smallest number by which 1085 must be multiplied to make it perfect cube please send me pic of your explanation
Answers
Answer:hope it help you army
Step-by-step explanation:First of all,
First of all,We will take the L.C.M. of the Given Numbers and will multiply the given number to the unpaired Number.
(1) 23805.
L.C.M. of 23805 is
=) 23805 = 3 × 3 × 5 × 23 × 23.
In the Above list,
3 and 23 are in pair and only 5 is unpaired.
=) 23805 × 5
=) 119,025 is a Perfect Square.
(2) 12150.
L.C.M. of 12150 is
=) 12150 = 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5.
In the Above list,
5 and 2 times 3 are in pair and ( 2 and 3) is unpaired.
=) 12150 × 6
12150 × 6=) 72,900
Hence, 72,900 is a Perfect Square.
(3) 7688.
L.C.M. of 7688 is
=) 7688 = 2 × 2 × 2 × 31 × 31.
In the Above list,
31 and 2 are in pair and only 2 is unpaired.
=) 7688 × 2
7688 × 2 =) 15,376.
Hence,
15, 376 is a Perfect Square.