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Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhile constructing the next triangle after \(\sqrt{7}\) in a square root spiral, a student takes the other perpendicular side as \(\sqrt{7}\) units. Which statement correctly fixes the error?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, a student says that to obtain \(\sqrt{8}\) after \(\sqrt{7}\), a perpendicular of length 1 should be drawn to the previous hypotenuse \(\sqrt{7}\). What is the status of the student's statement?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, Riya draws a perpendicular segment of length 1 unit at the end of the previous hypotenuse of length \(\sqrt{8}\). She considers the new hypotenuse to be \(\sqrt{10}\). What should the correct new hypotenuse be?Class 9Number SystemsSquare root spiralMedium MathematicsIn a square root spiral, a student adds a perpendicular side of 1 unit at the end of the side \(\sqrt{5}\) and calls the new hypotenuse \(\sqrt{10}\). What is the correct correction?Class 9Number SystemsSquare root spiralMedium MathematicsWhile constructing a square root spiral, a student takes the previous hypotenuse as one side and 1 unit as the other side of each new right triangle. If the previous hypotenuse is \(\sqrt{5}\) units, what will be the length of the new hypotenuse?Class 9Number SystemsSquare root spiralEasy MathematicsWhile 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?Class 9Number SystemsSquare root spiralEasy MathematicsA square has an area of \(2\text{ cm}^2\). A student says, “Since the area is rational, the side of the square must also be rational.” What is the correct correction to this statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Expert MathematicsThe area of a square garden is \(18\,\text{m}^2\). Which conclusion about the length of its side is correct?Class 9Number SystemsIrrational numbersMedium