Question

Represent (1+ root 9.5) on the number line. Best answer will definitely be marked the brainliest

Answer 1

Step 1: Draw 2 pointsA(1,0)A(1,0) and B(1.5,0.5)B(1.5,0.5)

According to the Pythagoras theorem, the length of AB would be

AB=|1−1.5|2+|0−0.5|2−−−−−−−−−−−−−−−−−√=2√2.AB=|1−1.5|2+|0−0.5|2=22.

Step 2: Draw a circle centered at A and radius AB. Let C, D be the intersection points of the circle (A,AB)(A,AB) and the X-axis line. The coordinates of C and D would be:

C(1−2√2,0);C(1−22,0);

D(1+2√2,0).D(1+22,0).

Step 3: Draw E(1,3)E(1,3) . The length of DE would be

DE=|1−(1+2√2)|2+|0−3|2−−−−−−−−−−−−−−−−−−−−√=9.5−−−√DE=|1−(1+22)|2+|0−3|2=9.5

Step 4: Draw a circle centered at A that has a radius of DE. Let F, G be the intersection points of the circle (A, DE) and the X-axis line. The coordinates of F and G would be:

F(1−9.5−−−√,0)F(1−9.5,0)

G(1+9.5−−−√,0)G(1+9.5,0)

Because the X-axis line is a number line, you have successfully represented the point 1+9.5−−−√1+9.5 on the number line.