Mathematics
Square root spiral
Practice questions
Which of the following irrational numbers can be represented by a line segment using a square root spiral?In a square root spiral, what type of number is represented by a point whose distance from the origin is \(\sqrt{17}\)?Why does (\sqrt{n}) become (\sqrt{n+1}) after adding a (1) unit perpendicular in a square root spiral?In a square root spiral, which feature of each new right triangle makes it represent the square root of the next natural number?To make (\sqrt{32}) in a square root spiral, which will be the previous hypotenuse?While constructing a square root spiral, Reena makes each new right triangle with one leg of 1 unit and the other leg equal to the previous hypotenuse. If the previous hypotenuse is \(\sqrt{7}\) units, what is the length of the new hypotenuse?In constructing a square root spiral, how is each new right triangle connected to the previous triangle?In a square root spiral, what type of number does \(\sqrt{10}\) represent?Why does the figure in a square root spiral look like a spiral?Before making (\sqrt{50}) in a square root spiral, which hypotenuse will be formed?If a new hypotenuse is made from (\sqrt{11}) in a square root spiral, which one is obtained?While constructing a square root spiral, a student takes the previous hypotenuse as one side and 1 unit as the other side of each new right triangle. If the previous hypotenuse is \(\sqrt{5}\) units, what will be the length of the new hypotenuse?Which property is used to construct each new right triangle in a square root spiral?In a square root spiral, point P is at a distance \(\sqrt{10}\) from the origin and point Q is at a distance \(\sqrt{11}\). A student says that P is farther because 10 is smaller. What is the correct conclusion?When (\sqrt{3}) is formed from (\sqrt{2}) in a square root spiral, which wrong idea should be avoided?Which tool can help in making a right angle in a square root spiral?In a square root spiral, the line segment representing \(\sqrt{5}\) is the hypotenuse of which type of triangle?Which principle is generally used to determine the length of a new side in a square root spiral?What is the main idea of a square root spiral in one sentence?While marking the length obtained from a square root spiral on the number line, where is the compass point usually placed?