Simplify the radical expression.

Question

(5 + sqrt(3))(5 - sqrt(3))

(1 point)

Ο 16

Ο 22

Ο 25 + 10sqrt(3)

○ 16 + 10sqrt(3)

Answer 1

To simplify the expression (5 + sqrt(3))(5 - sqrt(3)), we can use the difference of squares formula:

(a + b)(a - b) = a^2 - b^2

In this case, a is 5 and b is sqrt(3). So the expression simplifies to:

5^2 - (sqrt(3))^2
= 25 - 3
= 22

So the simplified radical expression is 22.