Question

evaluate (√5-√2) (√5-√2)
answer
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Answer 1

( √ 5 - √ 2 ) ( √ 5 - √ 2 )

( √ 5 - √ 2 ) ²

( √ 5 ) ² - 2 √ 5 √ 2 + ( √ 2 ) ²

5 - 2 √ 5 √ 2 + ( √ 2 ) ²

5 - 2 √ 10 + ( √ 2 ) ²

5 - 2 √ 10 + 2

7 - 2 √ 10

Answer 2

$\tt{Solution:- } \\ \\ \longmapsto\tt \: ( \sqrt{5} - \sqrt{2} ) ( \sqrt{5} - \sqrt{2} ) \\ \\ \longmapsto\tt \: ( \sqrt{5} - \sqrt{2} )^{2} \\ \\ \longmapsto\tt \: \sqrt{25} - \sqrt{4} \\ \\ \longmapsto\tt \: 5 - 2 \\ \\ \boxed{ \pink{\longmapsto\tt{ \: \: 3 }}}$