Math, asked by DIVYTEJ, 2 months ago

simplify:√32+√48/√8+√12​

Answers

Answered by Anonymous
2

Answer:

answer of your question is that....

Attachments:
Answered by Anonymous
59

Answer :

:\implies \:\sf \dfrac{ \sqrt{32} +  \sqrt{48}  }{ \sqrt{8}  +  \sqrt{12} } \\  \\

:\implies \:\sf \dfrac{ \sqrt{2 \times 2 \times 2 \times 2 \times 2} +  \sqrt{3 \times 2 \times 2 \times 2 \times 2}  }{ \sqrt{2 \times 2 \times 2}  +  \sqrt{2 \times 2 \times 3} } \\  \\

:\implies \:\sf \dfrac{ 2 \times 2\sqrt{2} +  2 \times 2\sqrt{3}  }{ 2\sqrt{2}  +2  \sqrt{3} } \\  \\

:\implies \:\sf \dfrac{ 4\sqrt{2} +  4\sqrt{3}  }{ 2\sqrt{2}  +2  \sqrt{3} } \\  \\

:\implies \:\sf \dfrac{ 4(\sqrt{2} +  \sqrt{3} ) }{ 2(\sqrt{2}  +  \sqrt{3}) } \\  \\

:\implies \:\sf \dfrac{ 4}{2} \\  \\

:\implies \: \underline{ \boxed{\sf 2 }}\\  \\

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