Question

Simplify this equation (5-root2)(root5+2)​

Answer 1

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$(5 - \sqrt{2} )( \ \sqrt{5} + 2)$

${\dag} \: {\underline{\boxed{\sf{\purple{ We \ Have \ Format \ Of }}}}}$

$(a - b)(c + d) \\ ac + ad - bc - bd$

$= 5 \sqrt{5 } + 10 - \sqrt{10} - 2 \sqrt{2 } \\ = 5 \sqrt{5} - 2 \sqrt{2 } - \sqrt{10} + 10$

Answer 2

(5-root2)(root5+2)

(5-root2)(root5+2)

=(a-b)(c+d)

=ac+ad-bc-bd=

5 root5 +10 -root10 -2root2

=5root5 -2root2 - root 10 +10