Math, asked by bhalu2699, 4 months ago

simplify the expansion (4+√3) (2+√2)​

Answers

Answered by Anonymous
2

Answer:

(4 +  \sqrt{3} )(2 +  \sqrt{2} ) \\  \\  = 8 + 4 \sqrt{2}  + 2 \sqrt{3}  +  \sqrt{6}

hope this much helps uh ❣️

Answered by Anonymous
66

\huge\sf{\bold\purple{Question  \: – } }

Simplify the expression

  • (4+3) (2+2)

\huge\sf{\bold\orange{Answer \: – } }

✯ This given expression can be easily simplified by multiplying one of the term with the others, i.e-

(4 +  \sqrt{3} )(2 +  \sqrt{2} ) \\  \implies \: 4(2 +  \sqrt{2} ) +  \sqrt{3} (2 +  \sqrt{2} ) \\ \implies(8 + 4 \sqrt{2} ) + (2 \sqrt{3}  +  \sqrt{6} ) \\   \\ \boxed{8 + 4 \sqrt{2}  + 2 \sqrt{3}  +  \sqrt{6} }

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(4+3)(2+2) = 8 + 42 + 23 +6

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⠀⠀⠀✨HOPE IT HELPS✨

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