Question

locate root 10 and root 17 on the number line of ch irrational number​

Answer 1

Step-by-step explanation:

1)

17 = \sqrt{16 {2 + \sqrt{1 {2 \\ }^{2} } }^{2} }

step-1 : in the real no. line take point A in any place and measure 4 units (4^2=16) and mark it as B

step-2: make a perpendicular on point B by the help of a rounder

step-3: in the perpendicular line made before measure 1 unit (1^2=1) and mark it C

step-4 : join the Point A and C

step-5: the required

hypotenuse is17^1/2

and for 10^1/2 also the same method is used but only the difference is the change of units .

take 3 units as base and 1 unit as perpendicular.

3^2=9 and 1^2 =1

9+1 =10

thus, 10^1/2 ={(3^1/2)^2 + (1^1/2)^2}^1/2

take the measurement of the both hypotenuse of both 17^1/2 and 10^1/2 and mark that measurement in the real no. line to locate it