The square root is always positive. It is true that square of 2 and -2 are both equal to 4, but the root of 4 by convention is always taken to be principal square root (positive).
There is a mistake here 1:46. He says "Any number raised to the power of zero is zero" but it should be "any number raised to the power of zero is 1, except zero"
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Please check 1:46 to 1:50. The speaker has mistakenly said that anything to the power zero is zero. And I have another question: Technically 2^3 is NOT multiplying 2 by itself three times. Its two multiplied by itself 2 times. Notice: 2 * 2 * 2. There are only two multiplication signs/operations here. So any number raised to the power another number n is either multiplying the number by itself n-1 times OR multiplying 1 with the base number n times. Think about it: 2^0 = 1. Then 2^0 * 2^3 = 2^(0+3) = 2^3 = 8 The same thing can also be written as 1 * 2^3 = 1 * 2 * 2 * 2 = 16. Here we have three multiplication operations / signs.
square on both sides, to get x = (5.1)^2 = 26.01 and y = (4.9)^2 = 24.01, then substitute values of x,y obtained in your question. hope you got my point!
Hi Prepscholar, a positive number can never have a negative root. It is a big mistake that you are preaching. You have confused solutions of equations to actual roots of numbers.
I would say there is a big problem here though, it is not true that numbers have a positive and negative root, for example, -1 is not the square root of 1. The big difference is that equations have both solutions, but the number itself only has one root, the positive one always.
