1. just_one_last_goodbye

What is the exact value for the expression $\sqrt{56} - \sqrt{14} + \sqrt{126}$

2. just_one_last_goodbye

Simplify if possible.

3. anonymous

Ok. Lets divide the first value, which is square root of 56, integers starting 2 and so on. 56 / 2 = 28 (28 can be further divided by 2) 28 / 2 = 14 (14 can be further divided by 2) 14 / 2 = 7 (7 can only be divided by 7) 7 / 7 = 1 After we factorized this we will write the expression like this: $\sqrt{56} = \sqrt{2^2 \times 2 \times 7 }$ You can pull the 2 squared as 2 out of the square root, but others have to stay inside. $\sqrt{56} = 2\sqrt{14}$ Apply this method to others...