Question

Is 48020 a perfect square? If not, find the smallest number by which it should be divided to get a perfect square.

Answer 1

Answer:

First take prime factorization of 48020 which you see in upward left . You see that 5 is remaining. So your abswer is 5.

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Answer 2

Answer:

48020 is not a perfect square.

The smallest number by which it should be divided to get a perfect square is 5.

Step-by-step explanation:

Given number is 48020.

Now,

$48020 = 2 \times 2 \times 5 \times 7 \times 7 \times 7 \times 7 \\ = {2}^{2} \times {(7 \times 7)}^{2} \times 5 \\ = {2}^{2} \times {49}^{2} \times 5$

So,48020 is not a perfect square

If we divide 48020 by 5 then it will become perfect square.

Some important Square value:

${1}^{2} = 1 \\ {2}^{2} = 4 \\ {3}^{2} = 9 \\ {4}^{2} = 16 \\ {5}^{2} = 25 \\ {6}^{2} = 36 \\ {7}^{2} = 49 \\ {8}^{2} = 64 \\ {9}^{2} = 81 \\ {10}^{2} = 100 \\ {11}^{2} = 121 \\ {12}^{2} = 144 \\ {13}^{2} = 169 \\ {14}^{2} = 196 \\ {15}^{2} = 225 \\ {16}^{2} = 256 \\ {17}^{2} = 289 \\ {18}^{2} = 324 \\ {19}^{2} = 361 \\ {20}^{2} = 400 \\ {21}^{2} = 441 \\ {22}^{2} = 484 \\ {23}^{2} = 529 \\ {24}^{2} = 576 \\ {25}^{2} = 625 \\ {27}^{2} = 729 \\ {28}^{2} = 784 \\ {29}^{2} = 841 \\ {30}^{2} = 900$

Know more about square:

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