Question

Rationalise
$6 - \sqrt[4]{3} \div 6 + \sqrt[4]{3}$
with Explain ​

Answer 1

Step-by-step explanation:

$= \frac{6 - \sqrt[4]{3} }{6 + \sqrt[4]{3} } \\ = \frac{6 - \sqrt[4]{3} }{6 + \sqrt[4]{3} } \times \frac{6 - \sqrt[4]{3} }{6 - \sqrt[4]{3} } \\ = \frac{36 - 2 \sqrt{3 } + \sqrt{3} }{36 - \sqrt[2]{3} } \\ = \frac{36 - \sqrt{3} }{36 - \sqrt{3} } \\ = 1$

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