Class 9 Maths Number Systems Represent Square Root of Real Number Geometrically

Steps to geometrically represent Square Root of any real number, √x

  1. Draw line AB of length X cm.
  2. Extend the line AB to C, such that BC = 1 cm
  3. Draw a semi circle as show below with diameter as x+1 cm
  4. From Point B, draw a line perpendicular to AC, this line will intersect the circumference of the semi circle drawn at point D
  5. CD represents √x


Radical Signs:  “√” Symbol is called Radical Signs. 2√5, 3√5 , 9√5

n√a where a>0 & n is +ve Integer.

If n√a= b, then bn = a & b>0

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