Plz Help With My Math Homework !!!?

Question

Plz help me ive never asked for help on here before but my math teacher is mean and dosnt tell us how to do these things there simple middle school math for some of you but for mw not atm so plz help heres the questions and directions

For Exercises 28-33, tell wether it is possible to draw a segement of the givin lenght by connecting dots on dot paper. Explain.

He told us we didnt need Dot Paper so here are the questions

28. √2 Units
29. √3 Units
30. √4 Units
31. √5 Units
32. √6 Units
33. √7 Units

Plz help me solve these problems plz plz plz

Also i know about the Pythagorean Theorem is and im really good at it but dont know how to use it on these problems.

Quick Question HUHUHUHUHUHUHUHUHUHUHUHUHUHUH???????????????

Answer 1

The grid points are 1 unit apart, and 4 will make a square.
* *
* *
If you draw a line across or up and down, you can draw any line that is a multiple of 1 unit ... like 1, 2, 3, .... by drawing a line from one point to another.

If you draw a line diagonally, the distance between the closest points is sqrt (1^2 + 1^2) or sqrt(2).
So, you can draw a line of length sqrt(2), 2*sqrt(2), 3*sqrt(2) ... which is the same as sqrt(2), sqrt(8), sqrt(18)

Is that enough to help you without actually giving you the answers?

Answer 2

easy !!! :)\

remember that
a^2+ b^2 =c^2
thus the hypotheneus of a triangle is c
in 28- 33 you are looking for c

so all you need to do is find values of a and b such that
28. c=sqrt 2 so some possible values are a= 1 and b=1
29. c = sqrt 3 .....

and so on