Question 169550
sqrt{56} + sqrt{126} =

Break each sqrt separately.

sqrt{56} = sqrt{4} times sqrt{14}, where the square root of 4 is a perfect square.

sqrt{56} = 2(sqrt{14}).


=======================

sqrt{126} = sqrt{9} times sqrt{14}), where sqrt{9} is a perfect square.

sqrt{126} = 3(sqrt{14})

Now that we have the same radicand 14, we can add the radicals.

2(sqrt{14}) + 3(sqrt{14}) = 5(sqrt{14}) as the final answer.

============================================================

NOTE: We cannot break down sqrt{14} anymore because it is already in lowest terms.