in example one we're asked to find between what two consecutive integers is the square root of seven so two consecutive integers means two whole numbers that would be on either side of seven so in this case it's going to be the square root of 7 is in between two numbers so we let's say a squared and B squared and for these sorts of questions it really helps if you know a few of your perfect squares so going through we have let's say 2 squared is equal to 4. 3 squared is equal to 9. and because 7 is in between 4 and 9 that means that the square root of 7 is in between the square root of 4. and the square root of 9 and because the square root of 4 is 2 then that means that the square root of 7 is in between two and three for question two were asked to find between what two consecutive integers is the cube root of a hundred so again that means that our cube root of 100 is in between a cubed and B Cubed so again it helps to know a few perfect cubes so 2 cubed is eight three cubed is 27 4 cubed is 64 and 5 cubed is 125. so that means that our hundred is going to be in between 64 and 125. so we have 64 the cube root of 64. then we have the cube root of 100 and then cube root of 125 and so we can simplify that to 4 then the cube root of 100 and then five so the cube root of 100 is in between four and five