Simplify rac{2{2} - {3}}{{2} + {3}}

Correct Answer is : 36−7{6} - 76−7

Correct Answer is : 36−7{6} - 76−7

Test Index

JAMB Mathematics 2014 Paper

Question : 7

Total: 47

Simplify

rac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}

Solution:

$= \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} - \sqrt{3}}{\sqrt{2} - \sqrt{3}}$

= \frac{2\sqrt{2}(\sqrt{2}) + (2\sqrt{2})(-\sqrt{3}) - \sqrt{3}(\sqrt{2}) - \sqrt{3}(-\sqrt{3})}{(\sqrt{2})^2 - (\sqrt{3})^2}

= \frac{2 \times 2 - 2\sqrt{6} - \sqrt{6} + 3}{2 - 3}

= \frac{4 - 3\sqrt{6} + 3}{-1}

= \frac{7 - 3\sqrt{6}}{-1}

= \frac{7}{-1} - \frac{3\sqrt{6}}{-1}

= -7 + 3\sqrt{6}

= 3\sqrt{6} - 7

Go to Question:

Prev Question

Next Question