Simplify: 2 over square root of 5
Simplify: -11 over square root of 112
1. Multiply the numerator and denominator by the square root of 5 to get:
2/sqrt(5) * sqrt(5)/sqrt(5) = 2sqrt(5)/5
So, 2 over square root of 5 simplifies to 2sqrt(5)/5.
2. Simplify the denominator by factoring out the largest perfect square. In this case, 112 = 16 x 7, so sqrt(112) = 4sqrt(7).
-11/4sqrt(7) is already simplified as much as possible, so it cannot be simplified further.