SOLUTION: Please help me !!i want to Know something.. when i get the hypotenuse for example the lengths are 6 and 3 and i get square root of 45 my teacher says that this problem isn't do

Algebra ->  Pythagorean-theorem -> SOLUTION: Please help me !!i want to Know something.. when i get the hypotenuse for example the lengths are 6 and 3 and i get square root of 45 my teacher says that this problem isn't do      Log On


   

Question 429107: Please help me !!i want to Know something.. when i get the hypotenuse for example the lengths are 6 and 3 and i get square root of 45 my teacher says that this problem isn't done completly because i have to seperate them square root of 9 and 5 and then 3 square root of 5 but when we have i big number how 320 i don't know how to seperate them ..Help Me !!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Let h = hypotenuse
then
+h%5E2+=+6%5E2+%2B+3%5E2+
+h%5E2+=+36+%2B+9+
+h%5E2+=+45+
+h+=+sqrt%2845%29+
Next, factor the number under radical with prime numbers:
+h+=+sqrt%283%2A3%2A5%29+
Pull out "pairs":
+h+=+3%2Asqrt%285%29+