Question

Guys with steps pls


60 points

Answer 1

Answer:

Answer is 1 (one)....

Step-by-step explanation:

First, find the value of x....

3+2×1.41 = 5.82....

Then we have to form equation :-

Square root of 5.82 = 2.41

2.41 × 1/2.41...

=> 241/100 × 1/2.41

=> Answer is 1....

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Answer 2

Answer:

$\sqrt{x}-\frac{1}{\sqrt{x}}=±2$

Step-by-step explanation:

$Given \: x = 3+2\sqrt{2}\:--(1)$

$\frac{1}{x}=\frac{1}{3+2\sqrt{2}}\\=\frac{1}{3+2\sqrt{2}}\times \frac{3-2\sqrt{2}}{3-2\sqrt{2}}\\=\frac{3-2\sqrt{2}}{3^{2}-(2\sqrt{2})^{2}}\\=\frac{3-2\sqrt{2}}{9-8}\\=3-2\sqrt{2}\:---(2)$

$Now,\\\left(\sqrt{x}-\frac{1}{\sqrt{x}}\right)^{2}\\=x+\frac{1}{x}-2\\=3+2\sqrt{2}+3-2\sqrt{2}-2\\=6-2\\=4$

$\sqrt{x}-\frac{1}{\sqrt{x}}=±\sqrt{4}\\=±2$

Therefore,

$\sqrt{x}-\frac{1}{\sqrt{x}}=±2$

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