Question

simplify : (3+√3) (3-√3)

Answer 1

HY THERE................
AS WE KNOW THAT (A +B)(A-B) = A SQUARE - B SQUARE
(3 +√3 )(3-√3) = (3) SQAURE -(√3)SQAURE = 9- 3 = 6..........
HOPE IT HELPS...................................

Answer 2

Given,

(3+√3) (3-√3).

To find,

The simplification of (3+√3) (3-√3).

Solution,

After simplifying (3+√3) (3-√3), we will get 6.

We can easily solve this problem by following the given steps.

Now, we know the identity (a+b) (a-b) is equal to (a²-b²). The given expression, (3+√3) (3-√3), fits in this identity.

We have, a = 3 and b = √3.

Using the identity (a+b) (a-b) = a² - b²,

(3+√3) (3-√3) = (3)² - (√3)²

(3+√3) (3-√3) = 9 - 3

(3+√3) (3-√3) = 6

Hence, after simplifying (3+√3) (3-√3), we get 6.

[ More identities to know: (a+b)² = a² + b² + 2ab, (a-b)² = a² + b² - 2ab. We have to be careful in these types of questions regarding the sign and the identity in which the given expression fits in.]