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300*square root of 3 + 300*square root of 6 = 1254.462165
Oh, dude, finding the square root of 6 times the square root of 24 is like finding out what's inside a mystery box. You simply multiply the numbers under the square roots together, so it's the square root of 144. That simplifies to 12, because 12 times 12 is 144. Easy peasy, lemon squeezy!
x2 - 6x + 1 = 0 x = [-(-6) +&- square root of [(-6)2 - 4(1)(1)]]/2(1) x = (6 +&- square root of 32)/2 x = [6 +&- 4(square root of 2)]/2 x = 3 +&- 2(square root of 2) x = 3 + 2(square root of 2) or x = 3 - 2(square root of 2) Check:
You must be careful when multiplying square roots of negative numbers; the same rules that apply for normal square roots do NOT apply. I will use shorthand root(x) for the square root of x. For example, root(2) x root(3) = root(2 x 3) = root(6), but you can't do this with square roots of negative numbers. For example: root(-2) x root(-3) = i root(2) x i root(3) = i2 root(6) = (-1) root(6) = -root(6). "i" is the imaginary unit.
√ 9 x √ 6 = 3 x √ 6 = 3 x 2.45 = 7.35 (2dp)