Given $a = 3 + 2 \sqrt{2}$ , find the value of $(\sqrt{a} - \frac{1}{\sqrt{a}})$ .

Created: 4 months ago | Updated: 1 week ago

Job Solution Janata Bank Ltd Janata Bank Ltd. Recruitment Test AEO ( RC) Written Examination Held On : 22.09.2017 || 2017 গণিত

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$G i v e n, a = 3 + 2 \sqrt{2} \Rightarrow a = 2 + 1 + 2 \sqrt{2} \Rightarrow a = {\sqrt{(2)}}^{2} + 2 \times \sqrt{2} \times 1 + 1^{2} \Rightarrow a = {(\sqrt{2} + 1)}^{2} \Rightarrow \sqrt{a} = \sqrt{2} + 1 a n d, \frac{1}{\sqrt{a}} = \frac{1}{\sqrt{2} + 1} = \frac{\sqrt{2} - 1}{(\sqrt{2} + 1) (\sqrt{2} - 1)} = \frac{\sqrt{2} - 1}{{(\sqrt{2})}^{2} - {(1)}^{2}} = \frac{\sqrt{2} - 1}{2 - 1} = \sqrt{2} - 1 N o w, (\sqrt{a} - \frac{1}{\sqrt{a}}) = \sqrt{2} + 1 - \sqrt{2} + 1 = 2 [[P u t t i n g t h e v a l u e o f \sqrt{a} a n d \frac{1}{\sqrt{a}}]$

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16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work?

Created: 5 months ago | Updated: 4 days ago

Job Solution Janata Bank Ltd Janata Bank Ltd. || AEO (Tellor) (07-02-2020) || 2020 গণিত

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Three cars leave A and B in equal time intervals. They reach B simultaneously and then leave for Point C which is 240km away from B. The first car arrives at C an hour after the second car. The third car, having reached C, immediately turns back and heads towards B. The first and the third car meet a point that is 80km away from C. What is the difference between the speed of the first and the third car?

Created: 5 months ago | Updated: 4 days ago

Job Solution Janata Bank Ltd Janata Bank Ltd. || AEO (Tellor) (07-02-2020) || 2020 গণিত

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A, B and C together start a business. The ratio of the investments of A, B and C is 0.125: 0.75 : 0.25. After 8 months A adds thrice amount of his earlier investment and C withdraws half of his earlier investment. At the end of the year, they earn a total profit of Tk. 58,000. What is B's share in the profit?

Created: 5 months ago | Updated: 4 days ago

Job Solution Janata Bank Ltd Janata Bank Ltd. || AEO (Tellor) (07-02-2020) || 2020 গণিত

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In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling profit?

Created: 5 months ago | Updated: 5 days ago

Job Solution Janata Bank Ltd Janata Bank Ltd. || AEO (Tellor) (07-02-2020) || 2020 গণিত

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Three vessels whose capacities are in the ratio of 3: 2:1 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 5:2, 4:1 and 4:1 respectively. Taking of first, of second and of the third mixture, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is

Created: 5 months ago | Updated: 5 days ago

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Given a=3+22, find the value of a-1a.

Related Questions

16 women take 12 days to complete a work which can be completed by 12 men in 8 days. 16 men started working and after 3 days 10 men left and 4 women joined them. How many days will they take to complete the remaining work?

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling profit?

Given $a = 3 + 2 \sqrt{2}$ , find the value of $(\sqrt{a} - \frac{1}{\sqrt{a}})$ .