Question

simplify (5+2√7) (√3-11√2)​

Answer 1

       $\underline{\bold{Answer:}}$

       $5\sqrt3-55\sqrt2 + 2\sqrt{21}-22\sqrt{14}$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{The given expression is }(5+2\sqrt7)(\sqrt3 - 11\sqrt2)$

       $\text{We can simplify this as}$

       $5(\sqrt3-11\sqrt2)+2\sqrt7(\sqrt3-11\sqrt2)$

       $\text{Multiplying...}$

$\implies 5(\sqrt3)+5(-11\sqrt2) + 2\sqrt7(\sqrt3)+2\sqrt7(-11\sqrt2)$

       $\text{Simplifying...}$

$\implies 5\sqrt3-55\sqrt2 + 2\sqrt{21}-22\sqrt{14}$