Math, asked by rasagna07, 4 months ago

Add: (3/5-√3) + (2/5+√3)​

Answers

Answered by piyushkasana515
1

Answer:

(3/5-√3/1)+(2/5+√3/1)

= 3-53/5)+(2+5√3/5)

= 3-5√3+2+5√3/5

= 5-0/5

= 5/5

= 1

thank u

Answered by suraj5070
113

 \huge {\boxed {\mathbb {QUESTION}}}

 Add

 (\frac{3}{5-\sqrt{3}})+(\frac{2}{5-\sqrt{3}})

 \huge {\boxed {\mathbb {ANSWER}}}

 \implies (\frac{3}{5-\sqrt{3}})+(\frac{2}{5-\sqrt{3}})

 \implies \frac{3(5+\sqrt{3})+2(5-\sqrt{3})}{(5-\sqrt{3})(5+\sqrt{3})}

 \implies \frac{15+3\sqrt{3}+10-2\sqrt{3}}{25-3}

 \implies{\boxed {\boxed {\frac{25+sqrt{3}}{22}}}}

 \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}

__________________________________________

 \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}  Rationalising \:the\:denominator

  •  To\: rationalize\: the\: denominator\:, multiply\\ both\: the\: numerator\: and\: the\: denominator\:\\ by\: the\: conjugate\: of\: the\\ denominator.
  •  Remember\: to \:find \:the\: conjugate\: we\\ have\: to\: change\: the\: sign\: between\: the\\ two\: terms.

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