What is (sqrt(r)+sqrt(s))^2 ?

The solution to (sqrt(r)+sqrt(s))^2 is r+2sqrt(r)sqrt(s)+s

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simplify (sqrt(r)+sqrt(s))^2

simplify

(r + s)^{2}

r + 2 r s + s

Solution steps

(r + s)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(r + s)^{2} = (r)^{2} + 2 r s + (s)^{2}

= (r)^{2} + 2 r s + (s)^{2}

(r)^{2} = r

(s)^{2} = s

= r + 2 r s + s

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e^{α \cdot t} ((a cosh (β \cdot t)) + (b + c \cdot t) sinh (β \cdot t))

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What is (sqrt(r)+sqrt(s))^2 ?
The solution to (sqrt(r)+sqrt(s))^2 is r+2sqrt(r)sqrt(s)+s