Mathematics
Square root spiral
Practice questions
While constructing a square root spiral, a student draws the new side in the same direction from the endpoint of the previous hypotenuse. How should the new unit-length side be drawn to keep the spiral correct?How is \(\sqrt{2}\) represented in a square root spiral?While constructing a square root spiral, how is each new right-angled triangle formed using the hypotenuse of the previous triangle?In a square root spiral, which of the following lengths represents an irrational number?Why is one side of each new right triangle kept 1 unit long while constructing a square root spiral?While constructing a square root spiral, a student takes a right triangle with one side of length 1 unit and the other perpendicular side also 1 unit. What is the length of its hypotenuse?A student says that to represent \(\sqrt{17}\) on a square root spiral, a perpendicular side of length 4 units should be drawn because \(17-1=16\). Why is this statement incorrect?To construct (\sqrt{57}) in a square root spiral, a (1) unit perpendicular will be drawn on which previous hypotenuse?In a square root spiral, which hypotenuse will be formed after (\sqrt{43})?Which tool is useful for measuring the (1) unit distance correctly while making a square root spiral?If the previous hypotenuse at a step in a square root spiral is (\sqrt{11}), which Pythagoras form is correct to find the new hypotenuse?To construct (\sqrt{17}) in a square root spiral, what will be the lengths of the previous hypotenuse and the new perpendicular side?In a square root spiral, a student says that the point representing \(\sqrt{10}\) lies between 3 and 4 on the number line. Which evaluation is correct?While constructing a square root spiral, which side does each new right-angled triangle share with the preceding triangle?What is the correct rule for constructing each new right triangle in a square root spiral?While making (\sqrt{4}) from (\sqrt{3}) in a square root spiral, which common mistake should be avoided?If the new hypotenuse at a step in a square root spiral is (\sqrt{31}), which was the immediately previous hypotenuse?Which statement about \(\sqrt{49}\) and \(\sqrt{50}\) in a square root spiral is correct?Why is it necessary to draw the (1) unit perpendicular at (90^\circ) in a square root spiral?Which of the following statements correctly describes the construction of a square root spiral?