Question

1.
6/
V5+V3
(i) Rationalise the denominator (ii) Find the value if V5 = 2,236 and 6 -1737​

Answer 1

Step-by-step explanation:

$\frac{6}{ \sqrt{5 + \sqrt{3 } } } \times \frac{ \sqrt{5 - \sqrt{3} } }{ \sqrt{5 - \sqrt{3} } } = \frac{6( \sqrt{5 - \sqrt{3)} } }{ \sqrt{5 {}^{2} - \sqrt{3 {}^{2} } } } = \frac{6( \sqrt{5 - \sqrt{3} } }{2} = \frac{3( \sqrt{5 - \sqrt{3)} } }{1} = \sqrt[3]{5 - \sqrt[3]{3} }$

$ii) \frac{6}{2236 - 1737} = 83.16$