Simplify the radical expression.
(8 + √11)(8 - √11)
Using the difference of squares formula, we get:
(8 + √11)(8 - √11) = 8^2 - (√11)^2 = 64 - 11 = 53
Therefore, the simplified radical expression is √53.
To simplify the given radical expression (8 + √11)(8 - √11), we can use the difference of squares formula, which states that (a + b)(a - b) = a^2 - b^2.
In this case, a = 8 and b = √11.
So, applying the formula, we have:
(8 + √11)(8 - √11) = 8^2 - (√11)^2
Simplifying further:
= 64 - 11
= 53
Therefore, the simplified radical expression is 53.