4+√(3)4 √(3)+4 √(3)4+√(3) (4+√(3))^2+(4 √(3))^2(4+√(3))(4 √(3)) 16+3+8√(3)+16+3 8√(3)16 3=3813 ...

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Rationalisation

Solve: 4+√34...

Question

Solve:
$\frac{4 + \sqrt{3}}{4 - \sqrt{3}} + \frac{4 - \sqrt{3}}{4 + \sqrt{3}}$

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Solution

$\frac{4 + \sqrt{3}}{4 - \sqrt{3}} + \frac{4 - \sqrt{3}}{4 + \sqrt{3}} \frac{(4 + \sqrt{3})^{2} + (4 - \sqrt{3})^{2}}{(4 + \sqrt{3}) (4 - \sqrt{3})} \frac{16 + 3 + 8 \sqrt{3} + 16 + 3 - 8 \sqrt{3}}{16 - 3} = \frac{38}{13}$

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\frac{\sqrt{3 + 4 ı} + \sqrt{3 - 4 ı}}{= \sqrt{3 + 4 ı} - \sqrt{3 - 4 ı}}

4 \frac{2}{3} - 3 \frac{3}{4}

\frac{2 x - 3}{4} + 6 \geq 4 + \frac{4 x}{3}

\frac{x + 4}{3} + \frac{2 x + 3}{4} = 7

Solve:

[[5×{(−3)×(−4)}]÷{27 + (−14−3)}][[3×{(−4)×(−5)}]÷{27+(−13−4)}]
+[{27×(−2)}÷(−3−3)] + [{27×(−2)}÷(−3−3)]
+[{(−3)×(−3)×5}÷(−3)]]

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