Question

Solve this number please​

Answer 1

Answer:

Step-by-step explanation:

Solution:-

x = 5 - 2√6

1/x = {1/(5 - 2√6)

⇒ 1/x = {1/(5 - 2√6)} × (5 + 2√6)/(5 + 2√6)

= (5 + 2√6)/25 - 24

= 5 + 2√6

Now,

(√x + 1/√x²) = x + 1/x + 2 × √x × 1/√x 

= x + 1/x + 2

⇒ √x + 1/√x = √x + 1/x + 2 (whole root)

= √5 - 2√6 + 5 + 2√6 + 2

= √5 + 5 + 2

= √12

Answer

Answer 2

$\large\red{ANSWER}$

$x = 5 - 2 \sqrt{6} \\ = > \frac{1}{x} = \frac{1}{5 - 2 \sqrt{6} } \\ \frac{1}{x} = \frac{1}{5 - 2 \sqrt{6} } \times \frac{5 + 2 \sqrt{6} }{5 + 2 \sqrt{6} } \\ \frac{1}{x} = \frac{5 + 2 \sqrt{6} }{ {5}^{2} - {2 \sqrt{6} }^{2} } \\ \frac{1}{x} = \frac{5 + 2 \sqrt{6} }{25 - 24} \\ \frac{1}{x} = 5 + 2 \sqrt{6}$

$= \sqrt{x} + \frac{1}{ \sqrt{x} } = \sqrt{5 - 2 \sqrt{6} } + \sqrt{5 + 2 \sqrt{6} }$

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