Respuesta :
If you compute the squares and sum them, the equation becomes
[tex] c^2 = 36+9 = 45 [/tex]
In order to solve for [tex] c [/tex], you need the extract the square root from both sides:
[tex] c = \pm\sqrt{45} \approx \pm6.7 [/tex]
Please note that if this problem is about the lengths of the sides of a triangle, you can only accept the positive solution, since it wouldn't make any sense to consider a side with negative length.
Remark
the the formula for Pythagorean theorem is a^2+b^2 = c^2
Step 1
Put the numbers in the equation and solve:
6^2 + 3^2 = c^2
36 + 9 = c^2
45 = c^2
Step 3
Figure out what c^2 is equal to by applying radicals:
√45 = √c^2
√45 = √9 x 5 = 5√3
c = 5√3
Any questions let me know. Your Welcome!