Find the distance between the two points in the simplest radical form

Question

Find the distance between the two points in the simplest radical form (-9,5) and (0,0)

Answer 1

sqr106 in simplest radical form (106)^1/2

sqr(9^2 + 5^2) = sqr(81+25) = sqr106

106 factors only to 53x2, so you can't simplify it further

sqr106= sqr53 x sqr2

sqr100 = 10, sqr106 is a little more than 100, about 10.3

Answer 2

You should always start a problem like this by looking up "distance formula" in the index of your math book or on the internet. The formula is:

d = √((x₂-x₁)² + (y₂-y₁)²)

where (x₁,y₁) and (x₂,y₂) are the two given endpoints, (-9,5) and (0,0). It doesn't matter which you choose to be (x₁,y₁) and (x₂,y₂); you'll get the same answer. So just plug the given points into the formula and compute the answer. If you want, you can post what you get in a comment and I'll tell you if it's right.