Question

how can we represent root 5 on number line
$\sqrt{5}$
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Answer 1

Answer:

Step-by-step explanation:

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

 

Step 1: Draw a number line. Mark O as the zero on the 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

Answer:

Solution:

√5 = √(4+1)

Here 4 and 1 both are perfect square number as √4 = 2 and √1 = 1

So draw right triangle with side 2 and 1

And according to Pythagoras theorem hypotenuse will √(22+12) = √5

Then draw an arc of √5 on number line