Question

please help.

Answer 1

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

Answer 2

Simplify if possible.

Answer 3

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...