Question

Is 9408 a perfect square? Find the
smallest number by which it should be
divided to make it a perfect square. Also
find the square root.
Is 2352 a perfect square? Find the
smallest number by which it should be
multiplied to make it a perfect square.
Also, find the square root. .
Find square root of a. 81 b. 100 by
ootad subtraction.​

Answer 1

Answer:

$9408 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 7 \times 7 \\ since \: there \: is \: no \: pair \: of \: 3 \\ so \: \: we \: will \: multiply \: 3 \: with \: the \: number \\ 9408 \times 3 = 28224 \\ \sqrt{28224} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 7} \\ = 2 \times 2 \times 2 \times 3 \times 7 \\ = 168$

$2352 = 2 \times 2 \times 2 \times 2 \times 3 \times 7 \\ since \: there \: is \: no \: pair \: of \: 3 \\ so \: we \: will \: multiply \: 3 \: with \: the \: number \\ 2352 \times 3 = 7056 \\ \sqrt{7056} = \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 \times 7} \\ = 2 \times 2 \times 3 \times 7 \\ = 84$

$a)81 - 1 = 80 \\ 80 - 3 = 77 \\ 77 - 5 = 72 \\ 72 - 7 = 65 \\ 65 - 9 = 56 \\ 56 - 11 = 45 \\ 45 - 13 = 32 \\ 32 - 15 = 17 \\ 17 - 17 = 0 \\ 81 = {9}^{2} \\ b)100 - 1 = 99 \\ 99 - 3 = 96 \\ 96 - 5 = 91 \\ 91 - 7 = 84 \\ 84 - 9 = 75 \\ 75 - 11 = 64 \\ 64 - 13 = 51 \\ 51 - 15 = 36 \\ 36 - 17 = 19 \\ 19 - 19 = 0 \\ 100 = {10}^{2}$

Step-by-step explanation:

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