Simplify: 2 over square root of 5

Question

Simplify: -11 over square root of 112

Answer 1

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.