Q. 44.1( 249 Votes )

# 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 P_{1}P_{2} perpendicular to OP_{1} of unit length (see Fig. 1.9). Now draw a line segment P_{2}P_{3} perpendicular to OP_{2}. Then draw a line segment P_{3}P_{4} perpendicular to OP_{3}. Continuing in this manner, you can get the line segment P_{n-1}P_{n} by drawing a line segment of unit length perpendicular to OP_{n-1.} In this manner, you will have created the points P_{2,}P_{3,……,}P_{n…..,} and joined them to create a beautiful spiral depicting

Answer :

Activity

**For the square root spiral follow the given steps**:-

2. Draw another line BC of length 1 unit perpendicular to AB.

3. Now, Join point A and point C forming a line AC.

Here, AC represents a line of length √2 units. (This can be easily found using Pythagoras Theorem in right ΔABC)

4. Now, Draw a perpendicular CD of length 1 unit at point C and join points A and D.

AD here represents length √3.

5. Similarly proceeding further we get Square Root Spiral.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Quiz | Rationalizing the Denominator39 mins

The Curious Case of Irrational Numbers43 mins

Irrational numbers on Number line32 mins

Terminating & Non - Terminating Decimal Expansion51 mins

Champ Quiz | Rationalization30 mins

RD Sharma | Practice Imp.Qs. on Number System48 mins

RD Sharma | Master The Number System40 mins

Quiz | Decimals - Whether Rational or Irrational43 mins

Quiz on Irrational Numbers31 mins

Quiz | Learning the Laws of Exponents52 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

If x is rational and y is irrational, then show that (x + y) is always irrational.

RS Aggarwal & V Aggarwal - MathematicsIf =1.414, then the value of upto three place of decimal is

RD Sharma - MathematicsIf =1.4142, then is equal to

RD Sharma - MathematicsThe value of is

RD Sharma - MathematicsIf *x* = , then *x*^{2} + -2 =

If , then *a* =

If *x* = 3+, find the value of *x*^{2}+.

The decimal representation of an irrational number is

RS Aggarwal & V Aggarwal - MathematicsWrite four irrational numbers between 0.1 and 0.2.

RS Aggarwal & V Aggarwal - Mathematics