Question

simplify each of the following expressions bracket under root 5 minus under root 2 bracket close bracket under root 5 + under root 2 bracket close
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Answer 1

I hope this would help you

Answer 2

$We \:have \: ( \sqrt{5} - \sqrt{2} )(\sqrt{5} + \sqrt{2}) \\ =( \sqrt{5})^{2} - (\sqrt{2})^{2}$

$\underline { \blue { By \: Algebraic \:Identity :}}$

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

$= 5 - 2 \\= 3$

Therefore.,

$\red { Value \: of \: ( \sqrt{5} - \sqrt{2} )(\sqrt{5} + \sqrt{2}) } \green {= 3 }$

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