Question

simplify: (2+√3)(2-√3)​

Answer 1

Answer:

1.

Step-by-step explanation:

(2+√3)(2-√3) is in the form of (a+b)(a-b)

(a+b)(a-b) = a²-b²

(2+√3) (2-√3)

=> (2)² - (√3)²

=> 4-3

=> 1.

Answer 2

SOLUTION

TO EVALUATE

$\sf{(2 + \sqrt{3})(2 - \sqrt{3} ) }$

FORMULA TO BE IMPLEMENTED

We are aware of the algebraic identity that

$\sf{ {a}^{2} - {b}^{2} = (a + b)( a - b) }$

EVALUATION

Here the given expression is

$\sf{(2 + \sqrt{3})(2 - \sqrt{3} ) }$

We simplify it as below

$\sf{(2 + \sqrt{3})(2 - \sqrt{3} ) }$

$\sf{ = {(2)}^{2} - {( \sqrt{3} )}^{2} }$

$\sf{ = 4 - 3 }$

$\sf{ = 1 }$

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