Show how \( \sqrt 5\) can be represented on the number line.

Asked by Vishal kumar | 1 year ago |  186

1 Answer

Solution :-

We need to draw a line segment AB of 2 unit on the number line. Then draw a perpendicular line segment BC at B of 1 units. Then join the points C and A, to form a line segment AC. According to Pythagoras Theorem

AC2 = AB2 + BC2

AC2 = 22 + 12

AC2 = 4 + 1 = 5

AC = \( \sqrt 5\)

Then draw the arc ACD, to get the number \( \sqrt 5\) on the number line.

Answered by Shivani Kumari | 1 year ago

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