Question

Find the value of


(6+√3) (6-√3)​

Answer 1

Given :-

• An equation _ (6+√3) (6-√3)

To Find :-

• Value of the given equation

Solution :-

Given equation is

(6+√3) (6-√3)

Formula to be used :-

a² - b² = (a+b) (a-b)

Where,

a = 6

b =√3

(6+√3) (6-√3)

= (6)² - ( √3)²

= 36 - 3

= 33

Therefore, the value of given equation is = 33

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Some identities :-

1. (a + b)² = a² + 2ab + b²

2. (a – b)² = a² – 2ab + b²

3. (x + a)(x + b) = x² + (a + b)x + ab

4. (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

5. a³ – b³ = (a – b)(a² + ab + b²)

6. (a + b)³ = a³ + 3a²b + 3ab² + b³

7. (a – b)³ = a³ – 3a²b + 3ab² – b³

8.a³ + b³ = (a + b)(a² – ab + b²)

Answer 2

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