The expression √(6-√11) + √(6+√11) can be expressed as √w.

Find w, if it is a whole number.

What i thought of doing is squaring both sides but *i think* that will be way too complicated

Try squaring both sides of the equation, just as you said, keeping everything in radical form, and then solving the resulting radical equation for w.

If you get tangled up, you might actually try generalizing the question, squaring both sides of √(a-b) + √(a+b)= √w and solving for w in terms of a and b. If nothing else, this is a little more impressive. This is what I actually did.

Show your work if you have trouble.

By the way, Halls' work will come in handy ...