Advertisements
Advertisements
प्रश्न
Classify the numbers 2.040040004 as rational or irrational:
उत्तर
2.040040004… is an irrational number because it is a non-terminating and non-repeating decimal.
APPEARS IN
संबंधित प्रश्न
Explain, how irrational numbers differ from rational numbers ?
Find two irrational numbers lying between 0.1 and 0.12.
Classify the numbers 1.535335333 as rational or irrational:
Which of the following statements is true?
State, whether the following numbers is rational or not : ( 2 + √2 )2
Classify the following number as rational or irrational with justification:
0.5918
Find whether the variable y represents a rational or an irrational number:
y2 = 9
Find three rational numbers between –1 and –2
Given that `sqrt(3)` is irrational, prove that `5 + 2sqrt(3)` is irrational.
Classroom activity (Constructing the ‘square root spiral’): Take a large sheet of paper and construct the ‘square root spiral’ in the following fashion. Start with a point O and draw a line segment OP1 of unit length. Draw a line segment P1 P2 perpendicular to OP1 of unit length. Now draw a line segment P2 P3 perpendicular to OP2. Then draw a line segment P3 P4 perpendicular to OP3. Continuing in this manner, you can get the line segment Pn–1Pn by drawing a line segment of unit length perpendicular to OPn–1. In this manner, you will have created the points P2, P3,...., Pn,.... ., and joined them to create a beautiful spiral depicting `sqrt2, sqrt3, sqrt4,` ...