Question

represent root 7 geometrically.

Answer 1

Let O be the origin on the line l.

• Let A be on the line such that OA=1.
• Draw AB perpendicular to OA at A such that AB=1. Then.
• OB2=OA2+AB2=12+12=2 Thus OB=2 .
• Again draw CD prependicular to l such that CD=1. Then.
• OD2=OC2+CD2=2+1=3. Thus OD=3 .
• Hence OF=7 . With O as centre and OF as radius, cut l at G.