Math, asked by Srushtipapli, 2 months ago

plz help me with this​

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Answers

Answered by srinivaspasula64
1

Answer:

(2 \sqrt{3) {?}^{2} }

Step-by-step explanation:

I tried a lot but I got 1st one

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Answered by ridhya77677
2

Answer:

(i) ({2 \sqrt{3} })^{2}  =2 \sqrt{3}  \times 2 \sqrt{3}   = 4 \times 3 = 12 \\ (ii) ( {  \frac{3}{2} \sqrt{2} })^{2}  =  \frac{3}{2}  \sqrt{2}  \times  \frac{3}{2}  \sqrt{2}  =  \frac{9}{4}  \times 2 =   \frac{9}{2}  \\ (iii) {(5 +  \sqrt{3} })^{2}  =  {5}^{2}  + 2 \times 5 \times  \sqrt{3}  +  ( { \sqrt{3} })^{2}   \\  = 25 + 10 \sqrt{3}  + 3 \\  = 28 + 10 \sqrt{3}  \\ (v) {(3 + 2 \sqrt{5} })^{2}  =  {3}^{2}  + 2 \times 3 \times 2 \sqrt{5}  + ( {2 \sqrt{5} })^{2}  \\  = 9 + 12 \sqrt{5}  + 4 \times 5 \\  = 9 + 12 \sqrt{5}  + 20 \\  = 29+ 12 \sqrt{5}  \\ (vi) {( \sqrt{5}  +  \sqrt{6} })^{2}  =  {( \sqrt{5} })^{2}  + 2 \times  \sqrt{5} \times  \sqrt{6}  +  { (\sqrt{6} })^{2} \\  = 5 + 2 \sqrt{5 \times 6}  + 6 \\  = 11 + 2 \sqrt{30}  \\ (vii)  ({\frac{3}{2 \sqrt{2} } })^{2}  = \frac{3}{2 \sqrt{2} }  \times \frac{3}{2 \sqrt{2} }  =  \frac{9}{4 \times 2}  =  \frac{9}{8}

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