Question

find the smallest no.by which 448 should be multiplied to get perfect cube​

Answer 1

Answer:

The required number which must be multiplied by 450 so that it becomes a perfect square is 2.

\large{\sf{\underline{\star{Step\:-by\:-step \:-Explanation :-}}}}

⋆Step−by−step−Explanation:−

Prime factorisation of 450 is as follows:-

\large{\sf{ 450 = 2 \times 3 \times 3 \times 5 \times 5}}450=2×3×3×5×5

Here we can see that 3 and 5 are in pairs and they can be grouped while 2 is unpaired.

So, if 450 is multiplied by 2 then the group of 2 can also be made and therefore, it will become a perfect square.

\large{\sf{450 \times 2 = 900, \:which\:is\:a\:perfect}}450×2=900,whichisaperfect \large{\sf{square\:of\:30.}}squareof30.

Hence, 450 must be multiplied by 2 so that it becomes a perfect square.

Answer 2

Answer:

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