SOLUTION: please help me solve these fololowing questions: simplify the following radicals: squar foot of 245 squar foot of 80 and the missing length of the triangle (right trian

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Question 12600: please help me solve these fololowing questions:
simplify the following radicals:
squar foot of 245
squar foot of 80
and the missing length of the triangle (right triangleS)
A= 8 B=12 what is C?
A-2 C=squar foot of 13 B=?

Answer by AdolphousC(70)   (Show Source): You can put this solution on YOUR website!
In order to simplfy square roots of non perfect squares ( 16, 25, 36 are perfect squares ) the easiest thing to do is to break your number down into its prime factors.


Prime numbers are those numbers which only are divisable by 1 and itself. 5 is prime, because only 1 and 5 divide into 5 evenly. However, 9 is NOT prime because 3 also divides into 9.


So to prime factor 245, we need to find its prime factors, the prime factors of 245 are 7, 7, 5 we know this because 7*7*5 = 245.


A rule of radicals states that = *
Now simplfy each square root, and can not be simplfied
Mulply the two together and you get


is the same, the prime factors of 80 are (2*2*2*2*5)
Rewrite as
Simply


Now, as for the missing length of right triangles, you must use the pythagorean therom
Plug in what you know
Simplfy
Simplfy
so and use the process from above to simplfy


For the last problem, I am assuming that A = 2 since a length of a triangle leg can not be negative,

The square of any square root is the number so we have



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