Mathematics
Square root spiral
Practice questions
After constructing \(\sqrt{55}\) in a square root spiral, what will be the next hypotenuse and in which interval will it lie?Which tool and its use are correctly matched for a square root spiral?While constructing a square root spiral, what length of perpendicular side is added to the hypotenuse of the previous triangle to form each new right triangle?While constructing a square root spiral, Arun says that to obtain \(\sqrt{n+1}\), one should directly add 1 to the previous hypotenuse \(\sqrt n\). Which statement correctly explains his error?What is the correct interval for \(\sqrt{96}\) in a square root spiral?While constructing a square root spiral, which rule does each new right triangle follow?If the (1) unit perpendicular is not measured correctly in a square root spiral, what will be the main effect?What type of number is (\sqrt{28}) in a square root spiral and in which interval does it lie?Why is using sides (1) and (1) units correct for constructing (\sqrt{2}) in a square root spiral?In a square root spiral, in which interval will \(\sqrt{108}\) lie on the number line?Which option is correct about \(\sqrt{100}\) and \(\sqrt{101}\) in a square root spiral?To construct (\sqrt{59}) in a square root spiral, which previous hypotenuse is correct and in which interval will the new hypotenuse lie?What is the correct order to reach \(\sqrt{4}\) in a square root spiral?When \(\sqrt{145}\) is formed after \(\sqrt{144}\) in a square root spiral, in which interval will \(\sqrt{145}\) lie?While constructing a square root spiral, Aman draws every new unit-length side from the initial point. Which statement correctly fixes his error?What type of number is (\sqrt{12}) in a square root spiral and where is its position?While constructing a square root spiral, Riya draws a perpendicular segment of length 1 unit at the end of the previous hypotenuse of length \(\sqrt{8}\). She considers the new hypotenuse to be \(\sqrt{10}\). What should the correct new hypotenuse be?What common operation occurs in forming (\sqrt{2}) from (\sqrt{1}) and (\sqrt{3}) from (\sqrt{2}) in a square root spiral?If after constructing \(\sqrt{75}\), the new hypotenuse \(\sqrt{76}\) is formed in a square root spiral, in which interval will it lie?Which option is most incorrect from the construction point of view in a square root spiral?