Question

Represent √5 on the number line

Answer 1

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.

Answer 2

Step 1 :- Draw a number line.

Step 2 :- Mark points A, B on 0 and 2 respectively.

Step 3 :- Draw BC of 1 unit perpendicular to the number line.

Step 4 :- Join AC. The length of AC should be √5 because the triangle ABC thus formed is a right triangle and AB² + BC² = AC², i. e., 2² + 1² = 4 + 1 = 5.

Step 5 :- Draw a semicircle with A as centre and AC as radius. The semicircle intersects the number line at M at left and N at right.

Here M indicates -√5 and N indicates √5.

Hope this helps. Thank you. Have a nice day.