Using the ratio of perfect squares method, what is square root of 112 rounded to the nearest hundredth?

First, you have to think of any perfect squares that multiply to 112. The only ones I can think of are 16 and 7. So now you have the square root of 16 * 7. Now you can reduce the 16 because the square root of 16 is 4. So the answer is 4 times the square root of 7.