d)

To solve the expression , we first simplify the square roots. We know that and . Substituting these values in gives us . To rationalize the denominator, we multiply the numerator and denominator by , resulting in .

Now you’ve got -2√2, a neat result! Did you know that simplifying square roots can be like finding hidden treasures in math? Each time you break it down, you uncover a new layer of knowledge, just like archaeological digs reveal historical artifacts! Want to dig deeper?

Whenever you’re working with square roots, ensure your calculations are precise. A common mistake is misidentifying square roots or rushing through simplification; always double-check your steps! Math can be tricky, but slowing down can quickly save you from silly errors! Keep practicing, and you’ll be a square root superstar in no time!