Exercise 59 Page 450

To simplify the given radical expression, we first need to rewrite the radicands so that they have exponents that match the index of the radicals. Then we will consider the properties for combining radical expressions when they are part of a sum or difference. asqrt(x)+bsqrt(x)&=(a+b)sqrt(x) asqrt(x)-bsqrt(x)&=(a-b)sqrt(x)Notice that radicals can only be added or subtracted when the index and the value inside are exactly the same. Let's simplify our radicals to see if we can create like terms.

We did it! Now that the terms have the same radical expression, we can add them.

The simplest form of the radical expression is 11sqrt(7).