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Elizabeth claims that the only square root of 36 is 6. Which statement below disproves Elizabeth’s claim? A) 6 is a factor of 36. B )36 has both even and odd factors. C) The square root of a whole number is sometimes a decimal value. D) The square root of a positive number can be a negative or positive value.

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Answer:

D) The square root of a positive number can be a negative or positive value.

Step-by-step explanation:

36 is a perfect square, meaning that the square root of 36 is equivalent to an integer, 6, whereby, the integer 6, when multiplied by itself gives us the perfect square, 36.

i.e. 36 = 6*6 = 6²

√36 = √6² = 6

There are actually two possible square root of 36. That is -6.

Square of, -6², equivalently is -6 * -6 = 36.

Therefore, √36 = ±6.

So, her claim is wrong. 6 is not the only square root of 36.

Square root of 36 could be negative 6 or positive 6.