-3*sqrt(24) = -3*sqrt(4*6) = -3*sqrt(4)*sqrt(6) = -3*2*sqrt(6) = -6*sqrt(6)
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That's the same as the square root of 24 (because 24 is 12 x 2).
24
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!
Square root (24) - square root (6) = 2.44948974
You can factorise 576 into its prime factors: 576 = 26*32 then halve each power and multiply: 23*31 = 24 Then add the possibility that the square root is negative. Answer: -24 or 24.