# Thread: Radicals

1. ## Radicals

ok the answer is 11 but i want to know why it is 11 its for a review package due on monday

question

The diagonal of a square checkerboard is (square root of 968)*. How many 2cm by 2cm squares make up this checkerboard?

*= the square root , i dont know how to make the symbol sorry guys.

please explain how you got ur answer please i know it has something to do wid the pythagoren theorum

2. ## Reply

since it is a square,use the Pythagorean theorum

$\displaystyle 968=x^2 + x^2$

solving for x
$\displaystyle 2x^2=968$

so x = 22, which is a side of the square checkerboard

$\displaystyle area=22*22 =484$

then divide by the area of one square then take the square root-and you get 11

3. thanks alot i jus got 1 question tho why would u square root 121 making it equal 11 even though it is right i want to know why you are u supose to square root it? thanks

4. ## square-rooting

because since each side of the board is 22 units, and you have a square thats 2x2, you have to take the square root, just so it fits the side. also because it is in a way proportional. I didnt have to take the square root, instead i could have divided 22 by 2, side of board divided by side of small square. I took the square root because i was dealing with two dimensions~area
you could do the same with a side (22/2=11) 1 dimension

GK