Final answer:
To simplify 528 − √63, we find that √63 equals 3√7. Thus, the simplest radical form of the expression is 528 − 3√7.
Step-by-step explanation:
The question asks to simplify the expression 528 − √63. To do this, we need to find the simplest radical form of √63.
First, we look for the largest perfect square that divides into 63, which is 9 (since 9 x 7 = 63). We can rewrite √63 as √(9×7). From the properties of square roots, we know that this is equal to √9 √7, which simplifies to 3√7.
Now, we can subtract this value from 528 to get:
528 − 3√7
Therefore, 528 − √63 in simplest radical form is 528 − 3√7.