Mathematics
Square root spiral
Practice questions
A student says that in a square root spiral, each new hypotenuse is exactly 1 unit longer than the previous hypotenuse. Which correction is correct?Which inequality is correct to identify the position of \(\sqrt{257}\) in a square root spiral?If the hypotenuse formed after \(\sqrt{n}\) in a square root spiral is (25), what is the value of (n)?In a square root spiral, which is the correct usual construction order from \(\sqrt{2}\) to \(\sqrt{5}\)?Which statement about the number-line positions of \(\sqrt{170}\) and \(\sqrt{195}\) in a square root spiral is correct?Which statement is correct when comparing the next hypotenuse from (\sqrt{24}) and (\sqrt{26}) in a square root spiral?In a square root spiral, if (m) is exactly (1) less than a perfect square, what is correct about the hypotenuse formed after (\sqrt{m})?Which conclusion is correct when comparing \(\sqrt{440}\) and \(\sqrt{441}\) in a square root spiral?What is the value of the hypotenuse formed after (\sqrt{48}) in a square root spiral?What is the correct number-line interval for \(\sqrt{624}\) in a square root spiral?What will be the exact value of the hypotenuse formed after \(\sqrt{899}\) in a square root spiral?Which statement about \(\sqrt{27}\) and \(\sqrt{32}\) in a square root spiral is correct?What is the correct reason for (\sqrt{8}) being formed from (\sqrt{7}) in a square root spiral?Before placing \(\sqrt{960}\) on the number line using a square root spiral, which interval is correct?Which condition is necessary for (\sqrt{n}) to become (\sqrt{n+1}) in a square root spiral?If the next hypotenuse is formed from \(\sqrt{168}\) in a square root spiral, which combined conclusion is correct?What is the correct position of \(\sqrt{840}\) in a square root spiral?Which statement is correct when comparing \(\sqrt{50}\) and \(\sqrt{63}\) in a square root spiral?In a square root spiral, the new hypotenuse is \(\sqrt{n+1}\). If the previous hypotenuse was \(\sqrt{224}\), what will be the new hypotenuse?When \(\sqrt{225}\) is formed from \(\sqrt{224}\) in a square root spiral, at what value will the new hypotenuse be?