Simplify the radical expression.
(3+√6)(3 - √6)
A. -27 <---?
B. 3
C. 9+6√6
D. 15+6√6
no
(3+√6)(3 - √6)
= 9 - 6
= 3
(√6)(√6) = 6 , using property √x*√x = x
Ohhh okay, I understand it now. Thank you =)
To simplify the given radical expression, we will use the difference of squares formula: (a + b)(a - b) = a^2 - b^2.
In this case, a = 3 and b = √6.
We can substitute these values into the formula: (3 + √6)(3 - √6) = 3^2 - (√6)^2.
Simplifying further: (3 + √6)(3 - √6) = 9 - 6.
The final simplified expression is: 9 - 6 = 3.
Therefore, the correct answer is B. 3.
To simplify the given radical expression (3 + √6)(3 - √6), we can use the difference of squares formula, which states that (a + b)(a - b) = a^2 - b^2.
Using this formula, we can find the simplified expression as follows:
(3 + √6)(3 - √6) = 3^2 - (√6)^2
= 9 - 6
= 3
Therefore, the simplified radical expression is 3. Hence, the answer is option B.