Question

plz answer quickly...

Answer 1

Hey friend,
Here is the answer you were looking for:
$x = 7 + 4 \sqrt{3} \\ \\ = \frac{1}{x} = \frac{1}{7 + 4 \sqrt{3} } \\ \\ after \: rationalizing \: we \: get \\ \\ \frac{1}{x} = \frac{1}{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ \frac{1}{x} = \frac{7 - 4 \sqrt{3} }{ {(7)}^{2} - {(4 \sqrt{3)} }^{2} } \\ \\ \frac{1}{x} = \frac{7 - 4 \sqrt{3} }{49 - 48} \\ \\ \frac{1}{x} = 7 - 4 \sqrt{3} \\ \\ x + \frac{1}{x} = (7 + 4 \sqrt{3} ) + (7 - 4 \sqrt{3} ) \\ \\ x + \frac{1}{x} = 7 + 4 \sqrt{3} + 7 - 4 \sqrt{3} \\ \\ = 7 + 7 + 4 \sqrt{3} - 4 \sqrt{3} \\ \\ = 7 + 7 \\ \\ = 14$

Hope this helps!!!

@Mahak24

Thanks...
☺

Answer 2

Thus so

_____________________________________________________________

TO FIND

AS
. X = 7 + 4 ROOT 3

. THEN

. X + 1 / X

. 7 + 4 ROOT 3 + 1 / 7 + 4 ROOT 3

. ( 7 + 4 ROOT 3 ) ² + 1 / 4 ROOT 3

. 49 + 56 ROOT 3 + 49 / 7 + 4 ROOT 3

. ( 98 + 56 ROOT 3 ) ( 7 - 4 ROOT 3 ) / ( 7 + 4 ROOT 3 ) ( 7 - 4 ROOT 3 )

. 686 - 392 ROOT 3 + 392 ROOT 3 - 672 / 49 - 48

. 686 - 672

.
. = 14

. Hope it helps

. Mark as brainliest if helpful .