Question

Locate √7 on number line. ​

Answer 1

Step-by-step explanation:

Given :-

√7

To find:-

Represent √7 on the number line.

Solution:-

See the above attachment

Steps:-

• Draw a line horizontally or vertically and mark 0 in the middle of the number line.

• write positive numbers on the right side and negative numbers on the left side to the zero on the number line.

• Represent √3 on the number line.

• Construct a triangle ODE with OD=√3 units and DE = 2 units

• ∆ODE is a right angled triangle,by Pythagoras theorem,

OE²=OD²+DE²

=> OE² = (√3)²+2²

=> OE² = 3+4

=> OE² = 7

=> OE = √7

• Draw an arc from E to intersect on the number line with √7 units .

• It Intersect at K on the number line.

• K represents √7 on the number line.

• k =2.645...

Used formulae:-

Pythagoras Theorem:-

In a right angled triangle, The square of the hypotenuse is equal to the sum of the squares of the other two sides.

• Every number can be represented on the number line so it is also called Real number line.