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5 August, 07:49

What is the simplified form of (square root) 72x^16 over 50x^36? Assume x is not equal to 0.

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  1. 5 August, 07:56
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    Alright, so in 72 we know that it's a multiple of 36 and it multiplies by 2, and the square root of 36 is 6, so we can write 6*sqrt (2) * x^8/50x^36 because in exponents, you add while multiplying so we'd just divide by 2 for the square root of x^16. After that, we can subtract 8 from the numerator and denominator to get 6sqrt (2) / 50x^28 and divide both the numerator and denominator by 2 to get 3sqrt (2) / 25x^28
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