Question

Solve this question please​

Answer 1

Given :-

6/√3 - 1/√2 + 10/√5

$\sf = \left(\frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \right) - \left( \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \right) + \\ \\ \sf\left( \frac{10}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \right) \\ \\ \sf = \frac{6 \sqrt{3} }{3} - \frac{1 \sqrt{2} }{2} + \frac{10 \sqrt{5} }{5}$

Taking LCM of 3, 2 and 5 = 3 × 2 × 5 = 30

= (6√3 × 10)/(3 × 10) - (1√2 × 15)/(2 × 15) + (10√5 × 6)/(5 × 6)

= 60√3/30 - 15√2/30 + 60√5/30

= (60√3 - 15√2 + 60√5)/30

= 15(4√3 - √2 + 4√5)/30

= (4√3 - √2 + 4√5)/2

Answer 2

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