Simplify √

81/49

Simplify √

81.

If you use a guess and check method, you see that 8

^{2} = 64 and 10

^{2} = 100.

Since 64 < 81 < 100 the next logical step would be checking 9

^{2}.

9

^{2} = 9 x 9

9

^{2} = 81 <--- We match our original number!!!

Therefore, √

81 =

**±9**Therefore, we can factor out 9 from the radical, and leave under the radical

__We can factor out the following portion using the highest even powers of variables:__√

81 = = 9

__We can factor out the following portion using the highest even powers of variables:__√

1 = = 1

__Multiply by outside constant of 49 to get our final answer:__49 x 1 =

**49**__Build our simplified fraction:__