Question

simplify (i) (2+√3) (2-√3)​

Answer 1

Answer:

1

Step-by-step explanation:

(2+√3) (2-√3)

2power2 - 3

4 - 3

1

Answer 2

Question

Simplify :-

(2 + √3) (2 - √3)

Answer

= 1

Solution

$\dashrightarrow (2 + √3) (2 - √3) \\ = (2) {}^{2} - ( \sqrt{3}) {}^{2} = 4 - 3 = \red{1}$

Concept

Here , in order to simplify the above equation we would use the algebraic identity

(a + b) (a - b) = a²- b²

Also , remember that the product of two identical surd form of a number is a number itself like here

√3 × √3 = 3 , moreover √a × √a = a .

$\rule{188pts}{2pts}$

Additional Information

1. (a + b)² = a² + b² + 2ab
2. (a - b)² = a² + b² - 2ab
3. (a + b) (a - b) = a² - b²
4. (a + b)² + (a - b)² = 2( a² + b² )
5. (a + b)² - (a - b)² = 4ab

Thankyou