Question

show √5 on Number line by all steps and Number line​

Answer 1

Answer ≈ To draw square root of 5 on a number line, following steps are to be followed.

Step 1: Draw a number line. ...

Step 2: Mark a point A as -5 on the number line.

Step 3: Mark a point C as 1 on the number line.

Step 4: Mark a point B as the mid-point of AC.

Step 5: With point B as the centre and radius as AB draw a semicircle.

Step 6: From O draw a perpendicular line to the number line that intersects the previous drawn semi-circle at D. Here OD = square root of 5.

Step 7: With O as centre and radius as OD, draw an arc that intersects the number line at point E. Here E is the point square root of 5 on the number line.

Answer 2

TO REPRESENT :-

• √5 on number line.

CONSTRUCTIONS :-

∵ we know that √4 = 2

∴ √5 = √(2)² + (1)²

In △ OBC , by pythagoras theorem,

⇒ (OB)² = (OA)² + (AB)²

⇒ (OB)² = (2)² + (1)²

⇒ OB = √5

STEPS OF CONSTRUCTIONS :-

➵ Mark a point 'A' representing 2 on number line.

➵ now construct AB of unit length perpendicular to OA.

➵ Then taking O as a centre and OB as radius, Draw an arc intersecting number line at C.

➵ C is representing √5