Question

simplify:-
$\frac{1}{ \sqrt{6 } + \sqrt{5} } - \frac{2}{ \sqrt{5} + \sqrt{7} } - \frac{1}{ \sqrt{7} + \sqrt{6} }$
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Answer 1

Answer:

$= 2 (\sqrt{6}- \sqrt{7})$

Step-by-step explanation:

$=\frac{1}{\sqrt{6} + \sqrt{5} } - \frac{2}{\sqrt{5} + \sqrt{7}} - \frac{1}{\sqrt{7} + \sqrt{6}}$

$=\frac{1}{\sqrt{6} + \sqrt{5}}(\frac{\sqrt{6} - \sqrt{5}}{\sqrt{6} - \sqrt{5}}) - \frac{2}{\sqrt{5} + \sqrt{7}}(\frac{\sqrt{5} - \sqrt{7}}{\sqrt{5} - \sqrt{7}}) - \frac{1}{\sqrt{7} + \sqrt{6}} (\frac{\sqrt{7} - \sqrt{6}}{\sqrt{7} - \sqrt{6}})$

$=(1)\frac{\sqrt{6} - \sqrt{5}}{6 - 5} - (2)\frac{\sqrt{5} - \sqrt{7}}{5-7} - (1)\frac{\sqrt{7} - \sqrt{6}}{7 - 6}$

$=(1)\frac{\sqrt{6} - \sqrt{5}}{1} - (2)\frac{\sqrt{5} - \sqrt{7}}{-2} - (1)\frac{\sqrt{7} - \sqrt{6}}{1}$$(1)\frac{\sqrt{6} - \sqrt{5}}{1}  + (1)\frac{\sqrt{5} - \sqrt{7}}{1} - (1)\frac{\sqrt{7} - \sqrt{6}}{1}$

$=({\sqrt{6} - \sqrt{5}}) + ({\sqrt{5} - \sqrt{7}})- ({\sqrt{7} - \sqrt{6}})$

$={\sqrt{6} - \sqrt{5}} + {\sqrt{5} - \sqrt{7}}- {\sqrt{7} + \sqrt{6}}$

$= 2 (\sqrt{6}- \sqrt{7})$

Answer 2

Step-by-step explanation:

Weeding or weed control is the process of removing unwanted plants from crop fields. ... Weeding is essential weeds tend to compete with the crops for food, space, water and light and greatly reduce the crop yield.