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my working

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I already did

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A) 7

B) 196

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112 x 2 or 3 or 5 are all not able to be squared. Only 7 can

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Photo👆

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it is up there

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:D

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I can’t put the picture here for some reason

So I’ll put it above

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Photo^

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112x2=not square number

112x3=not square number

112x5=not square number

112x7=784=square number

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Photo above^

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Prime factorisation of 112 = 2x2x2x2x7

To make a square, (2x2x7)(2x2x7) 2x2x2x2x7x7 = 112x7, which means m = 7

To make a cube, (2x2x7)(2x2x7)(2x2x7)

2x2x2x2x2x2x7x7x7 = 112x2x2x7x7 = 112x196, which means n = 196

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112 = 2^4 × 7

112 x 196 = 2^3 x 14^3

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You are to find the smallest non-zero whole number that can be multiplied by 112 such that

(a) 112 x m is a SQUARE number

(b) 112 x n is a CUBE number

Note 1:

You may choose to do either (a) or (b).

You may also choose to do both questions.

Note 2:

Post a photo of your working

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