Mathematics
Square root spiral
Practice questions
Which feature of the construction of a square root spiral is correct?Which statement is correct when comparing (\sqrt{168}) and (\sqrt{170}) in a square root spiral?While constructing a square root spiral, Reema used a new side of
√2
units to make the triangle after the point representing
√7
. What is her mistake?What is the number-line position of (\sqrt{840}) in a square root spiral?When (\sqrt{25}) is formed from (\sqrt{24}) in a square root spiral, which combined conclusion is correct?Before placing (\sqrt{n}) on the number line in a square root spiral, what is the most reliable method?In a square root spiral, point P corresponding to \(\sqrt{18}\) is marked. Riya says that P will lie between 4 and 5 units from the centre O. What is the correct evaluation of Riya's statement?In a standard square root spiral, which of the following lengths is not obtained as a radial segment?What is the correct interval for (\sqrt{960}) in a square root spiral?At hard level, which is the most precise summary of a square root spiral?Which conclusion is correct for locating the point at a distance \(\sqrt{50}\) on the number line using a square root spiral?If the new hypotenuse in a square root spiral is equal to (14), which hypotenuse came immediately before it?A student has constructed a square root spiral up to \(\sqrt{12}\). To obtain \(\sqrt{13}\), she draws a perpendicular of length 1 unit at the end of the last radius. Which conclusion is correct?If a student writes (\sqrt{18}+1=\sqrt{19}) to find the next hypotenuse, what is the correct correction?If a \(3\) unit perpendicular is used instead of \(1\) unit in the usual square root spiral, what will be the hypotenuse formed from \(\sqrt{n}\)?While constructing a square root spiral, Reema drew a 1-unit line parallel to the hypotenuse of the previous triangle to form the next triangle. What is the main error in her construction?In a square root spiral, if the distance from the origin at a stage is \(\sqrt{n}\), which construction correctly produces the next point?What will be the exact value of the hypotenuse formed after \(\sqrt{143}\) in a square root spiral?If the (k)-th hypotenuse is considered (\sqrt{k}), which hypotenuse is (\sqrt{36}), and what is its value?While constructing a square root spiral, Riya says that every new right triangle is congruent to the previous one because one side is taken as 1 unit each time. Which is the correct analysis of Riya’s error?