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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।

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 MathematicsIn a square root spiral, in which situation will the hypotenuse not be a whole number?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsBefore placing \(\sqrt{27}\) on the number line using a square root spiral, which interval should be identified?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, which side is added to the previous hypotenuse to form each new right triangle?Class 9Number SystemsSquare root spiralLevel 19Medium 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 spiralLevel 19Medium MathematicsWhile constructing a square root spiral, a student draws each new 1-unit side perpendicular to the previous 1-unit segment instead of the previous hypotenuse. What is the main error in this method?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, which two sides are placed at right angles to form the next right triangle?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhat type of number is \(\sqrt{20}\) in a square root spiral and why?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhich interval is correct for placing \(\sqrt{32}\) on the number line using a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, where \(n\ge 2\), how is the segment of length \(\sqrt{n}\) formed?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, which hypotenuse will come after \(\sqrt{99}\)?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhich statement about \(\sqrt{36}\) and \(\sqrt{37}\) in a square root spiral is correct?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhich statement correctly identifies the construction of a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhich of the following statements correctly describes the construction of a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhy is it necessary to draw the (1) unit perpendicular at (90^\circ) in a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhich statement about \(\sqrt{49}\) and \(\sqrt{50}\) in a square root spiral is correct?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhat is the correct rule for constructing each new right triangle in a square root spiral?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsWhile constructing a square root spiral, which side does each new right-angled triangle share with the preceding triangle?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsIn a square root spiral, a student says that the point representing \(\sqrt{10}\) lies between 3 and 4 on the number line. Which evaluation is correct?Class 9Number SystemsSquare root spiralLevel 19Medium MathematicsA student says that to represent \(\sqrt{17}\) on a square root spiral, a perpendicular side of length 4 units should be drawn because \(17-1=16\). Why is this statement incorrect?Class 9Number SystemsSquare root spiralLevel 24Easy