To solve the given equation √11 + √7 √11 - √7 = a + b√77, we need to find the values of a and b that satisfy this equation. This is an example of a mathematical problem that involves square roots and rationalizing the denominator.
One way to approach this problem is by multiplying the left side of the equation by its conjugate, which is (√11 - √7)(√11 + √7). Doing this will result in a difference of squares, which simplifies the equation and helps us find the values of a and b more easily.
By carefully solving and simplifying the equation, we can find the correct values of a and b, which will ultimately allow us to express the given expression in the desired form of a + b√77.