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Mathematics 21 Online
SwaggyMark:

helpppppppp plsssssss

SwaggyMark:

Vocaloid:

area of a square is side length^2 so calculate (4 + sqr5)^2 important: you cannot do 4^2 + sqrt(5)^2. you have to use the binomial expansion formula (a+b)^2 = a^2 + 2ab + b^2

SwaggyMark:

what does that mean

Vocaloid:

(a+b)^2 = a^2 + 2ab + b^2 notice how this formula has two terms added together (a and b) with the whole thing squared. comparing this to your problem: (4 + sqrt(5))^2, your a value is 4 and your b value is sqrt(5). so with that in mind, what would your a^2 + 2ab + b^2 equal?

SwaggyMark:

38.88854382

Vocaloid:

keep it in radical form (write it out in terms of square roots instead of converting to decimals)

SwaggyMark:

4^2=16 and\[\sqrt{5}*\sqrt{5}=5\] 4*2sqrt5 = 8sqrt 5 i think so the answer is \[21+8\sqrt{5}\]?

Vocaloid:

good, so the second choice from the left

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