Question

If x = 2+√3 find x2+2

Answer 1

Answer:

9 + 4√3

Step-by-step explanation:

IF ,

$x = 2 + \sqrt{3}$

THEN ,

${x}^{2} + 2$

${(2 + \sqrt{3}) \: }^{2} + 2$

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

$(4 + 4 \sqrt{3} + 3) + 2$

$(7 + 4 \sqrt{3} ) + 2$

$7 + 2 + 4 \sqrt{3}$

$9 + 4 \sqrt{3} \: is \: the \: answer$

Answer 2

Answer:

$9 + 4 \sqrt{3} \: is \: the \: answer$