Question

simplify
(I) (√5 -√2) (√5+√2)
(ii) (√3+√2)^2​

Answer 1

Step-by-step explanation:

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

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