Yes she did Josh. You just ain't looking right.

A radical expression has three parts: the radical sign, the number inside the radical sign called the radicand, and the number being multiplied by the radical expression called the coefficient. In this example, three is the radicand and four is the coefficient. Here are a few more examples. Two times the square root of five: five is the radicand and two is the coefficient. The square root of thirteen: thirteen is the radicand and it is understood that one is the coefficient. Negative square root of seven: seven is the radicand and it is understood that negative one is the coefficient. [new screen] When two or more square roots have like radicands, the radical expressions are like radicals. You can add or subtract the coefficients of like radicals just as you can add or subtract the coefficients of expressions that are like terms. [new screen] When you add two square roots, can you add the radicands and find the square root of the sum? Let’s find out. Here we have the square root of nine plus the square root of sixteen. Is this sum the same as the square root of nine plus sixteen? Let’s compare. On the left, the square root of nine is three and the square root of sixteen is four. Three plus four equals seven. On the right, nine plus sixteen is twenty-five and the square root of twenty-five is five. Seven does not equal five. Therefore, the square root of nine plus the square root of sixteen does not equal the square root of nine plus sixteen. You cannot add the radicands of square roots. The square root of a plus the square root of b does not equal the square root of a plus b. [new screen] Here’s one more example. Simplify the square root of eleven minus three square root of fourteen minus seven square root of eleven plus five square root of fourteen. First, we’ll identify our like radicals. The square root of eleven and negative seven square root of eleven are like radicals, and negative three square root of fourteen and five square root of fourteen are like radicals. Use the commutative property to rearrange the radicals so that like radicals are next to one another, then add or subtract the coefficients of the like radicals. The square root of eleven, whose coefficient is understood to be one, minus seven square root of eleven is negative six square root of eleven. Negative three square root of fourteen plus five square root of fourteen is two square root of fourteen. The expression simplifies to negative six square root of eleven plus two square root of fourteen.