Question

if x = √7+4√3 find x²+1/x²​

Answer 1

Step-by-step explanation:

the answer is 14.

Here is the proof.

Answer 2

Answer:

answer is 14

Step-by-step explanation:

x²+1/x²

$( \sqrt{7 + 4 \sqrt{3} } ) ^{2} + 1 \div ( \sqrt{7 \times 4 \sqrt{3} } )^{2}$

$(7 + 4 \sqrt{3 } )+ 1 \div (7 + 4 \sqrt{3} )$

$(7 + 4 \sqrt{3} ) + 1 \div (7 + 4 \sqrt{3}) \times (7 - 4 \sqrt{3} ) \div (7 - 4 \sqrt{3} )$

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

$7 + 7$

$14$