Question

(√5 -√2) (√5+√2)

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Answer 1

Answer:

From the identity

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

Now

$(\sqrt{5} - \sqrt{2} )( \sqrt{5} + \sqrt{2} ) \\ {( \sqrt{5}) }^{2} - {( \sqrt{2} )}^{2} \\ = 5 - 2 = 3$

So 3 is answer of yr Question

Answer 2

Step-by-step explanation:

$\sf We\:know\:that\: \\ \\ \sf (x - y )( x + y ) ={x}^{2} - {y}^{2}\\ \\ \sf so \:( \sqrt{5} + \sqrt{2})(\sqrt{5} - \sqrt{2}) \\ \\ \sf = {\sqrt{5}}^{2} - {\sqrt{2}}^{2} \\ \\ \sf = 5 - 2 \\ \\ \sf = 3 \\ \\ \sf So\:The\:Answer\:Is\:3$

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