sqrt(288)2 = 288
16.9705627
±16.97056274847714
It is the square root of 288
288=2*2*2*2*3*3*2 The square root of 288 is 12 times the sqr of 2 Explanation: 288 is broken down to it's factors 2x144 = 288 There is no need to break the 144 down to it's factors, because you can instantly see that the square root of 144 = 12 Therefore the answer is the square root of 2 times the square root of 144 which becomes 12 times the square root of 2, which is approximately equal to 6.97056.
288
Irrational.
13.2077 cm (12x12) + (12x12)= 288 square root of 288 = 13.2077...
12 radical 2
Assuming you mean sqrt(2)*sqrt(288) sqrt(2)*sqrt(288) = sqrt(2*288) = sqrt(2*2*144) = sqrt(22*122) = 2*12 = 24
Radicals, or square roots sqrt(7200) We can split sqrt(7200) into 2 pieces, perfect square numbers, and... well, the ones that aren't. sqrt(7200) = sqrt(3600*2) sqrt(7200) = sqrt(36)*sqrt(100)*sqrt(2) 3600 is a perfect square, 2 is not. However, I'll continue breaking it down to make it easier to calculate. sqrt(7200) = 6*10*sqrt(2) = 60*sqrt(2) Since the square root of 36 is 6, and square root of 100 is 10. You can break square roots up like this using multiplication. However, I can't do anything to sqrt(2) because there is no (real) number times itself to give me 2. Your final answer would be 60 radical 2 (or 60 sqrt(2)) ---- sqrt(288) Similarly, let's break 288 into factors that are perfect squares, and not perfects. sqrt(288) = sqrt(144*2) sqrt(288) = sqrt(144)*sqrt(2) sqrt(288) = 12 * sqrt(2) final answer: 12 sqrt(2) or 12 rad 2
Two sides of the square, along with the diagonal, form a right triangle. Therefore, we apply the Pythagorean theorem: a2 + b2 = c2. a and b are the sides of the triangle that connect with the right (ninety-degree) angle, and c is the side opposite the right angle. 122 + 122 = c2 144 + 144 = c2 288 = c2 288 = c2 Take the square root of both sides of the equation. 288 = c The square root of 288 is approximately 16.97. Therefore, the diagonal measure of a twelve foot square is approximately 16.97.