Simplify the following
a) (8+root5) (8-root5)
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Correct Question :
Simplify the following
(8 + √5)(8 - √5)
[tex] \rule{170}2[/tex]
AnswEr :
[tex]\sf\ : \implies\ (8 + \sqrt{5})(8 - \sqrt{5}) \\\\\\\scriptsize\qquad\dag\sf\ Identity: \: (a+b)(a-b) = a^2 - b^2 \\\\\\\sf\ : \implies\ (8)^2 - (\sqrt{5})^2\\\\\\\sf\ : \implies\ 64 - 5 \\\\\\\sf\ : \implies\ 61 [/tex]
[tex] \rule{150}2[/tex]
[tex]\boxed{\begin{minipage}{6 cm}\bf{\dag}\:\:\underline{\text{Important Algebric Identities :}}\\\\\bigstar\:\:\sf(a+b)^2= a^2 + b^2 + 2ab\\\\\bigstar\:\:\sf(a -b)^2 = a^2 + b^2 - 2ab \\\\\bigstar\:\:\sf(a+b)(a-b) = a^2 - b^2\\\\\bigstar\:\:\sf(x
+a)(x+b) = x^2 + (a+b)x + ab\end{minipage}}[/tex]
Simplify the following
a) (8+root5) (8-root5)