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Irrational Numbers

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

MathematicsWhen \(\sqrt{145}\) is formed after \(\sqrt{144}\) in a square root spiral, in which interval will \(\sqrt{145}\) lie?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhich option is correct about \(\sqrt{100}\) and \(\sqrt{101}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsIn a square root spiral, in which interval will \(\sqrt{108}\) lie on the number line?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile constructing a square root spiral, which rule does each new right triangle follow?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhat is the correct interval for \(\sqrt{96}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile constructing a square root spiral, Arun says that to obtain \(\sqrt{n+1}\), one should directly add 1 to the previous hypotenuse \(\sqrt n\). Which statement correctly explains his error?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile constructing a square root spiral, what length of perpendicular side is added to the hypotenuse of the previous triangle to form each new right triangle?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsAfter constructing \(\sqrt{55}\) in a square root spiral, what will be the next hypotenuse and in which interval will it lie?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsOn a square root spiral, Riya marks \(\sqrt{26}\) between 5 and 6. Which comparison correctly verifies her marking?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsIn a square root spiral, which side is added to the previous side to form each new right-angled triangle?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhat is the correct number-line interval for \(\sqrt{120}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile 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?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhich statement is correct about the new right triangle representing \(\sqrt{n}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsIn 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?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhile 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?Class 9Number SystemsSquare root spiralLevel 20Medium MathematicsWhat is common in the construction of \(\sqrt{2}\) and \(\sqrt{3}\) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, which hypotenuse comes after \(\sqrt{45}\) and in which interval does it lie?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, what is the distance of the point representing \(\sqrt{n}\) from the origin?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhile observing a square root spiral, Riya says, “The length of each new hypotenuse is exactly 1 unit more than the previous hypotenuse.” What is the correct evaluation of Riya’s statement?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhile constructing a square root spiral, a student drew a perpendicular of length 1 unit on the hypotenuse \(\sqrt{7}\). The student claims that the new hypotenuse will be \(\sqrt{6}\), not \(\sqrt{8}\). What is the correct evaluation of the student's claim?Class 9Number SystemsSquare root spiralLevel 19Medium