Question

find the square of 8 + 5 under root 3 by method​

Answer 1

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→find the square of 8 + 5 under root 3 by method

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⇒Given:

• $(8+5\sqrt{3})^2$

⇒Solution-

⇒$(8+5\sqrt{3})^2$

⇒$8^2+(5\sqrt{3})^2+2\times 8\times 5\sqrt{3}$

⇒$64+75+80\sqrt{3}$

⇒$\huge{\pink{\overbrace{\underbrace{139+80\sqrt{3}}}}}$

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Formulas Used :-

• $(a+b)^2=a^2+b^2+2ab$

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Answer 2

Step-by-step explanation:

⇒(8+5\sqrt{3})^2(8+5

3

)

2

⇒8^2+(5\sqrt{3})^2+2\times 8\times 5\sqrt{3}8

2

+(5

3

)

2

+2×8×5

3

⇒64+75+80\sqrt{3}64+75+80

3

⇒\huge{\pink{\overbrace{\underbrace{139+80\sqrt{3}}}}}

139+80

3