Math, asked by shneerthi, 7 months ago

pls hlp me
steps needed
will mark u as brainliest​

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Answers

Answered by aiyshanizar792
2

Answer:

HI FRIEND MARK IT AS BRAiNLIEST

Step-by-step explanation:

LET US USE THE FORMULA (A+B)²

(-4+√48)²=16+48+2×-4×√48

                =64-32√3

(-4-√48)²=16+48+2×-4×√48

               =64-32√3

THEN ADD BOTH

                      =64

HOPE IT HELPS

THANK AND FOLLOW ME

Answered by ItzArchimedes
2

\underline{\textbf{\textsf{\purple{Solution}:-}}}

\longrightarrow \sf \left(-4+\sqrt{48}i\right)^2 + \left(-4 - \sqrt{48}i\right)^2

As we know that ,

\rm i = \sqrt{-1}

Substituting we have ,

\sf\longrightarrow \Big[-4+\sqrt{48}\sqrt{-1}\Big]^2+\Big[-4-\sqrt{48}\sqrt{-1}\Big]^2

\sf\longrightarrow \Big[(-4)^2 + (\sqrt{48})^2(\sqrt{-1})^2\Big]+\Big[(-4)^2-(\sqrt{48})^2(\sqrt{-1})^2\Big]

 \sf \longrightarrow  \Big[16+48(-1)\Big]+\Big[16-48(-1)\Big]

\sf\longrightarrow 16 - 48 + 16 + 48

\sf\longrightarrow 16 + 16

\longrightarrow \boxed{\textbf{\textsf{\green{32}}}}

\therefore Hence , ( - 4 + 48 i)² + ( - 4 - 48 i)² = 32

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