What is expand (a^{1/2}+b^{1/2})^2 ?

The solution to expand (a^{1/2}+b^{1/2})^2 is a+2a^{1/2}b^{1/2}+b

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expand (a^{1/2}+b^{1/2})^2

expand

(a^{\frac{1}{2}} + b^{\frac{1}{2}})^{2}

a + 2 a^{\frac{1}{2}} b^{\frac{1}{2}} + b

Solution steps

(a^{\frac{1}{2}} + b^{\frac{1}{2}})^{2}

Apply Perfect Square Formula:

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

(a^{\frac{1}{2}} + b^{\frac{1}{2}})^{2} = (a^{\frac{1}{2}})^{2} + 2 a^{\frac{1}{2}} b^{\frac{1}{2}} + (b^{\frac{1}{2}})^{2}

= (a^{\frac{1}{2}})^{2} + 2 a^{\frac{1}{2}} b^{\frac{1}{2}} + (b^{\frac{1}{2}})^{2}

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

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

= a + 2 a^{\frac{1}{2}} b^{\frac{1}{2}} + b

(0.5 \cdot \frac{1}{3} + \frac{1}{5}) \cdot 1.2

e^{k t} (cosh (2 k t) - H (t - a) (t - b))

sin^{2} (y) + (cos (y) - tan (y)) (cos (y) + tan (y))

\frac{1}{2} (cosh (2 x) - 1)

(3 x - 2) (3 x + 2)

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