Question

if x=5-2 root 6 find x square 1/x square

Answer 1

your answer is here

$x + \frac{1}{x} \\ 5 - 2 \sqrt{6} + \frac{1}{5 - 2 \sqrt{6} } \\ \frac{25 + 24 - 20 \sqrt{6} + 1 }{5 - 2 \sqrt{6} } \\ \frac{5 \sqrt{2} - 20 \sqrt{6} }{5 - 2 \sqrt{6} } \times \frac{5 + 2 \sqrt{6} }{5 + 2 \sqrt{6} } \\ \\ \frac{25 \sqrt{2} - 100 \sqrt{6} + 10 \sqrt{12} - 40 \sqrt{6} }{25 - 24 } \\ \frac{25 \sqrt{2} - 160 \sqrt{6} + 20 \sqrt{3} }{1 } \\ 25 \sqrt{2} - 160 \sqrt{6} + 20 \sqrt{3}$

Answer 2

Answer:

+

x

1

5−2

6

+

5−2

6

1

5−2

6

25+24−20

6

+1

5−2

6

5

2

−20

6

×

5+2

6

5+2

6

25−24

25

2

−100

6

+10

12

−40

6

1

25

2

−160

6

+20

3

25

2

−160

6

+20

3