Question

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Answer 1

answer=

$( \sqrt{5} - \sqrt{2} )( \sqrt[]{2} - \ \sqrt{3} ) =$

$\sqrt{5} ( \sqrt{2} - \sqrt{3}) - \sqrt{2} ( \sqrt{2} - \sqrt{3} )$

$\sqrt{10} - \sqrt{15} - 2 + \sqrt{6}$

Answer 2

Answer:

To find:

(√5-√2)(√2-√3)

Solution:

$\sqrt{5} ( \sqrt{2} - \sqrt{3} ) - \sqrt{2} ( \sqrt{2} - \sqrt{3}) \\ = \sqrt{5} \times \sqrt{2} + \sqrt{5} \times ( - \sqrt{3} ) - ({\sqrt{2}})^{2} - \sqrt{2} \times ( - \sqrt{3} ) \\ = \sqrt{10} - \sqrt{15} - 2 + \sqrt{6}$