Question

Find the root of 10 and 17 on the number line

Answer 1

Consider a number line. Let the point O represent 0 and point A represent 3.

Now draw a perpendicular AP at A on the number line and cut off arc AB = 1 unit.

Using Pythagoras Theorem, we have

O B^2= O A ^2+ A B^2

OB^2 =(3) ^2+ (1) ^2

=10

OB^2= 10

OB=√10

root 17

Sol : We know that √16 = 4 and √17 = √(42 +12 )

mark point A representing 4 on number line .Now construct AB of unit length perpendicular to Oa .Then taking O as centre and OB as radius. Draw an arc intersecting number line at C .C is represented as √17

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