Answer:
We can use the Pythagorean theorem to solve this:
The Pythagorean theorem states that the hypotenuse of a triangle (the longest side), squared is equal to the sum of the other 2 sides of the triangle, squared. It can be expressed as so:
c^2=a^2+b^2 where c represents the hypotenuse; a and b represent the other 2 sides.
Now that we have an equation we can solve:
c^2=8^2+8^2
c^2=64+64
c^2=128
Since there is no perfect square for 128 we need to put in in simplest radical form
c=√128
Find a number that has a perfect square and multiplies by another number to equal 128
c=√64 x 2
This can be rewritten as so:
c=√64√2
Now for the last step find another perfect square for 64 and have it outside the square like so:
c=8√2
There is no perfect square for 8 so this is in simplest radical form
Explanation: