Mathematics
Square root spiral
Practice questions
If counting starts from (\sqrt{2}) in the spiral, what will be the (25)th hypotenuse?If someone draws a (1) unit perpendicular on (\sqrt{12}) to construct (\sqrt{14}), what result will be obtained?Which statement about (\sqrt{144}) and (\sqrt{145}) in the spiral is correct?If we have to go from the hypotenuse √40 to the hypotenuse √47, how many new perpendicular segments will be drawn?Which option explains why (\sqrt{2}) is obtained as the first hypotenuse?If \(OP=\sqrt{73}\) and \(OQ=\sqrt{74}\) are consecutive hypotenuses, what is \(PQ^2\)?In a square root spiral, if (\sqrt{6}) has to be placed on the number line, which method is correct?If (\sqrt{200}) is formed in the spiral, what is its simplified form?If the spiral has been constructed up to the (\sqrt{5}) step, how many hypotenuses have been formed starting from (\sqrt{2})?In a square root spiral, what is the simplified form of \(\sqrt{75}\)?If \(OP=\sqrt{x}\) and the next hypotenuse is \(\sqrt{57}\), what is the value of (x)?Which statement is correct for the spiral from (\sqrt{2}) to (\sqrt{9})?If \(\sqrt{27}\) is to be simplified as a length of the spiral, what is the correct form?If (OP=\sqrt{18}) and the new (PQ=1) is perpendicular, what will be the simplest form of (OQ)?Which option explains why (\sqrt{4}) is not irrational even though it is formed in the spiral?If the hypotenuse of the (m)th right triangle is \(\sqrt{46}\), what is the value of (m)?If hypotenuses are formed from (\sqrt{2}) to (\sqrt{16}) in the spiral, how many integer lengths will be obtained?Which option gives the correct general recurrence for the square root spiral?If the value of a hypotenuse is (5) units, as which square root will it appear in the spiral?What is the most important mathematical basis of the square root spiral?