Mathematics
Square root spiral
Practice questions
Why is a (90^\circ) angle necessary in a square root spiral?If the hypotenuse at a step is (\sqrt{n}), by which formula will the next hypotenuse be obtained?A square root spiral is mainly used to show what on the number line?While constructing a square root spiral, Rima draws a segment of length 1 unit at the endpoint of the \(\sqrt{8}\) side, perpendicular to the \(\sqrt{8}\) side. What is the length of the new hypotenuse when the new point is joined to the starting point?Just before making (\sqrt{12}) in a square root spiral, which hypotenuse should be present?In a square root spiral, which hypotenuse will be formed after (\sqrt{15})?In a square root spiral, the point representing which number will lie between 3 and 4 on the number line?Which is the correct calculation to make (\sqrt{2}) in a square root spiral?Which is the correct calculation to make (\sqrt{3}) in a square root spiral?If the (1) unit perpendicular side in a square root spiral is changed to (2) units, why will the usual sequence change?While constructing a square root spiral, Riya draws a perpendicular segment of length 1 unit at the end of the current hypotenuse in every new step. What is the correct mathematical reason for this?Which previous hypotenuse is used to make (\sqrt{21}) in a square root spiral?In a square root spiral, with which property is each new right-angled triangle constructed?Which length in a square root spiral is usually irrational?In a square root spiral, what length of side is added perpendicular to the hypotenuse of the previous triangle to form each new right triangle?How is each new right triangle constructed in a square root spiral?Just before making (\sqrt{30}) in a square root spiral, which hypotenuse will be present?What is used to place the length from a square root spiral on the number line?Which statement is correct for a square root spiral?While drawing a square root spiral, a student adds a perpendicular side at the end of the previous hypotenuse in each new right triangle. What should be the length of this new perpendicular side to extend the spiral up to \(\sqrt{10}\)?