Question

Give me right answer

Answer 1

Answer:

I. $\frac{\sqrt{10} + \sqrt{15} }{\sqrt{2} }$

$= \frac{\sqrt{10} + \sqrt{15} }{\sqrt{2} }$  ×  $\frac{\sqrt{2} }{\sqrt{2} }$

$= \frac{\sqrt{20} + \sqrt{30} }{2}$

$= \frac{2\sqrt{5} + \sqrt{30} }{2}$

II. $\frac{\sqrt{3} + 1 }{\sqrt{2} - \sqrt{3} }$

Rationalizing factor = $\sqrt{2} + \sqrt{3}$

$\frac{\sqrt{3} + 1 }{\sqrt{2} - \sqrt{3} }$   ×   $\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} + \sqrt{3}}$

= $\frac{\sqrt{6} + 3 + \sqrt{2} + \sqrt{3 } }{\sqrt{2}^{2} + \sqrt{3} ^{2} }$

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

= $\frac{\sqrt{6} + 3 + \sqrt{2} + \sqrt{3 } }{-1 }$

$- ({\sqrt{6} + 3 + \sqrt{2} + \sqrt{3 } })$

= $-{\sqrt{6} - 3 - \sqrt{2} - \sqrt{3 } }$

Answer 2

Answer:

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