What is expand (L^{1/2}+K^{1/2})^2 ?

The solution to expand (L^{1/2}+K^{1/2})^2 is L+2L^{1/2}K^{1/2}+K

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expand (L^{1/2}+K^{1/2})^2

expand

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2}

L + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + K

Solution steps

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2}

Apply Perfect Square Formula:

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

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2} = (L^{\frac{1}{2}})^{2} + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + (K^{\frac{1}{2}})^{2}

= (L^{\frac{1}{2}})^{2} + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + (K^{\frac{1}{2}})^{2}

(L^{\frac{1}{2}})^{2} = L

(K^{\frac{1}{2}})^{2} = K

= L + 2 L^{\frac{1}{2}} K^{\frac{1}{2}} + K

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What is expand (L^{1/2}+K^{1/2})^2 ?
The solution to expand (L^{1/2}+K^{1/2})^2 is L+2L^{1/2}K^{1/2}+K