Math, asked by vandanajha559, 28 days ago

simplify(✓3+✓11^3)+(✓3-✓11)^2​

Answers

Answered by NMKingWinner
2

Answer:

64 (\sqrt{3}+\sqrt{11})

Step-by-step explanation:

(\sqrt{3}+\sqrt{11}) (3+11+2\sqrt{33})+(3+11-2\sqrt{33})                ---- [ (3+11-2\sqrt{33}) is common ]

(3+11-2\sqrt{33}) (\sqrt{3}+\sqrt{11}+1)

(14-2\sqrt{33}) (\sqrt{3}+\sqrt{11}+1)

14\sqrt{3} +14\sqrt{11} +14 -6\sqrt{11}-22\sqrt{3}-2\sqrt{33}

14\sqrt{3}-22\sqrt{3}+14\sqrt{11}-6\sqrt{11}-2\sqrt{33}+14

-8\sqrt{3}+8\sqrt{11}-2\sqrt{33}+14

8(\sqrt{11}-\sqrt{3})-2\sqrt{33}+14

8(3.316-1.732)-2(5.744)+14

8(1.584)-11.488+14

12.672-11.488+14

1.184+14

15.184

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