Math, asked by cnrkrishna3185, 1 month ago

simplify ( 2+ root 3 ) ( 3 + root 5 )

Answers

Answered by Anonymous
0

Answer:

=5root15

Step-by-step explanation:

please mark this answer as BRAINLIST

Answered by NewGeneEinstein
1

\huge{\underline{\tt Solution:-}}

 \\  \tt \longmapsto \: (2 +  \sqrt{3} )(3 +  \sqrt{5} ) \\  \\  \tt \longmapsto \: 2(3 +  \sqrt{5} ) +  \sqrt{3} (3 +  \sqrt{5} ) \\  \\  \tt \longmapsto \: 6 + 2 \sqrt{5}  + 3 \sqrt{3}  +  \sqrt{3}  \sqrt{5}  \\  \\  \tt \longmapsto \: 6 + 2 \sqrt{5}  + 3 \sqrt{3}  +  \sqrt{3 \times 5}  \\  \\  \tt \longmapsto \:  6 + 2 \sqrt{5}  + 3 \sqrt{3}  +  \sqrt{15}

Hence forth

(2+√3)(3+√5)=6+2√5+3√3+√15

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