Locate √10 and √17 on the number line.

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Locating : Representing 10 as the sum of squares of two natural numbers: 10 = 9 + 1 = 3² + 1² Let l be the number line. If point O represents number 0 and point A represents number 3, then draw a line segment OA = 3 units. At A, draw AC ⟂ OA. From AC, cut off AB = 1 unit. We observe that OAB is a right angled triangle at A. By Pythagoras theorem, we get: With O as centre and radius = OB, we draw an arc of a circle to meet the number line l at point P. As OP = OB = units, the point P will represent the number on the number line as shown in the figure below: Locating : Representing 17 as the sum of squares of two natural numbers: 17 = 16 + 1 = 4² + 1² Let l be the number line. If point O represents number 0 and point A represents number 4, then draw a line segment OA = 4 units. At A, draw AC ⟂ OA. From AC, cut off AB = 1 unit. We observe that OAB is a right angled triangle at A. By Pythagoras theorem, we get: With O as centre and radius = OB, we draw an arc of a circle to meet the number line l at point P. As OP = OB = units, the point P will represent the number on the number line as shown in the figure below:

Mathematics

Locate √10 and √17 on the number line.

Rational Irrational Nos

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