Mathematics
Square root spiral
Practice questions
In a square root spiral, if the previous hypotenuse is (\sqrt{13}), which calculation correctly gives the new hypotenuse after adding a (1) unit perpendicular?While constructing a square root spiral, Aarav draws every new side of length 1 perpendicular to the initial line segment instead of the previous hypotenuse. What is the main error in his construction?In a square root spiral, after (\sqrt{35}), in which interval will the next hypotenuse lie on the number line?In a square root spiral, Reema took the distance from the initial point to the point representing \(\sqrt{16}\), drew a perpendicular segment of length 1 unit there, and joined its new endpoint to the initial point. Which statement about her construction is correct?If someone writes (\sqrt{7}+1=\sqrt{8}) to find the next hypotenuse in a square root spiral, what is the correct correction?Which statement about (\sqrt{48}) and (\sqrt{49}) in a square root spiral is correct?In a square root spiral, which action on the previous hypotenuse is correct for constructing (\sqrt{44})?Which statement is correct about the new right triangle representing \(\sqrt{n}\) in a square root spiral?If the new hypotenuse formed in a square root spiral is (\sqrt{82}), what was the length of the previous hypotenuse?When (\sqrt{82}) is formed from (\sqrt{81}) in a square root spiral, which statement is correct?Why will the usual sequence not remain if a (3) unit perpendicular is used instead of (1) unit in a square root spiral?While constructing a square root spiral, a student says that the point for \(\sqrt{10}\) will be 10 units away from the origin. What is the correct correction to this error?After constructing (\sqrt{2}), which construction is correct to make (\sqrt{3}) in a square root spiral?What is the correct number-line interval for \(\sqrt{120}\) in a square root spiral?To construct (\sqrt{143}) in a square root spiral, on which previous hypotenuse will a (1) unit perpendicular be drawn?In a square root spiral, which side is added to the previous side to form each new right-angled triangle?On a square root spiral, Riya marks \(\sqrt{26}\) between 5 and 6. Which comparison correctly verifies her marking?Which Pythagoras equation is correct to construct (\sqrt{8}) in a square root spiral?Which statement about (\sqrt{169}) and (\sqrt{170}) in a square root spiral is correct?While marking the hypotenuse (\sqrt{n}) on the number line in a square root spiral, which process is most correct?