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Use prime factors to explain why 15 x 375 is a perfect square

User Bart Read
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1 Answer

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Answer:

A perfect square can always be expressed as a product of pairs of equal factors

if we resolve 15x 375(which equals 5625)

225x25 = 9x25x25 = 3x3x5x5x5x5 = 3x5x5x3x5x5 or 3 to the power of 2 x 5 to the power of 4 which can also equal to 75 squared

which means that 75 is the number whose square is 5265

User Brilliant
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