Mathematics
Square root spiral
Practice questions
In a square root spiral, if the previous hypotenuse is \(\sqrt{483}\), at what exact value will the new hypotenuse be after adding a (1) unit perpendicular?If the new hypotenuse in a square root spiral is equal to (31), which hypotenuse came immediately before it?Before placing \(\sqrt{1155}\) on the number line, which interval will be correctly identified?If a student writes (\sqrt{52}+1=\sqrt{53}) to find the next hypotenuse, what is the correct correction?If a (6) unit perpendicular is used instead of (1) unit in the usual square root spiral, what will be the hypotenuse formed from \(\sqrt{n}\)?In a square root spiral, drawing a (1) unit perpendicular on \(\sqrt{624}\) gives which new hypotenuse and where is it located?Which statement about the number-line positions of \(\sqrt{120}\) and \(\sqrt{122}\) in a square root spiral is correct?What will be the exact value of the hypotenuse formed after \(\sqrt{675}\) in a square root spiral?If the (k)-th hypotenuse is considered (\sqrt{k}), which hypotenuse is (\sqrt{81}), and what is its value?To construct \(\sqrt{210}\) in a square root spiral, which previous hypotenuse and new perpendicular are correct?In a square root spiral, the hypotenuse formed after \(\sqrt{1088}\) will be at which exact value?Which inequality is correct to identify the position of \(\sqrt{899}\) in a square root spiral?If the hypotenuse formed after \(\sqrt{n}\) in a square root spiral is (41), what is the value of (n)?In a square root spiral, which is the correct usual construction order from \(\sqrt{8}\) to \(\sqrt{12}\)?Which statement about the number-line positions of \(\sqrt{255}\) and \(\sqrt{257}\) in a square root spiral is correct?Which statement is correct when comparing the next hypotenuse from (\sqrt{323}) and (\sqrt{325}) in a square root spiral?In a square root spiral, if (m) is exactly (1) less than the next perfect square, what is certain about the hypotenuse formed after (\sqrt{m})?Which conclusion is correct when comparing \(\sqrt{1680}\) and \(\sqrt{1681}\) in a square root spiral?What is the value of the hypotenuse formed after (\sqrt{80}) in a square root spiral?What is the correct number-line interval for \(\sqrt{1520}\)?