Mathematics
Square root spiral
Practice questions
Which hypotenuse will be formed in the spiral and have a natural number value?If the spiral is constructed up to (\sqrt{80}), which hypotenuse will be formed immediately after it?If \(OP=\sqrt{a}\) and \(PQ=1\) is perpendicular, what is the general form of the next hypotenuse (OQ)?In a square root spiral, which hypotenuses come immediately before and after (\sqrt{99})?If \(\sqrt{121}\) is formed in the spiral, how many units is it in actual length?If (5) new steps are constructed after (OP=\sqrt{8}), what will be the final hypotenuse?If after (7) new steps the hypotenuse becomes \(\sqrt{29}\), what was the starting hypotenuse?Which option gives the correct simplest form of \(\sqrt{54}\)?Which geometric idea is most necessary instead of an angle protractor in constructing a square root spiral?If the hypotenuse (\sqrt{2}) appears in the (45^\circ) direction, will every next hypotenuse also be at (45^\circ)?If (OP=\sqrt{15}), (PQ=1), and (PQ) is slanting instead of perpendicular, is (OQ=\sqrt{16}) certain?How many new steps are needed to go from \(\sqrt{3}\) to \(\sqrt{7}\) in the spiral?If \(\sqrt{90}\) is obtained in the spiral, what is its simplest form?Which option gives a correct equation for one step of the spiral?If one hypotenuse is (\sqrt{100}) and the next step is constructed, what will be the actual value of the new hypotenuse?Which statement correctly describes the relation between a square root spiral and the number line?If hypotenuses are constructed up to \(\sqrt{65}\), which hypotenuse was (3) steps before the final one?Which option gives an incorrect fixed length for constructing the spiral?If (OP=\sqrt{120}), what is the simplest form of (OP)?If \(OP=\sqrt{120}\), which is the correct simplest form of (OP)?