Question

If a=(2+√3), b=(2-√3), then a²+ab+b² is equal to: ​

Answer 1

$a=(2+√3), b=(2-√3)$

$= a²+ab+b²$

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

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

$= 4 + 3 + 4 \sqrt{3} + 4 + 3 + 3 - 4 \sqrt{3}$

$= 7 + 7 + 3$

$= 14 + 3$

$= 17$

Answer 2

Answer:

2*2+2*3

4+6

10

Step-by-step explanation:

2*2+2*3

4+6

10