What is expand (sqrt(2+\sqrt{3)})^2 ?

The solution to expand (sqrt(2+\sqrt{3)})^2 is 2+sqrt(3)

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expand (sqrt(2+\sqrt{3)})^2

expand

(2 + 3)^{2}

2 + 3

Solution steps

(2 + 3)^{2}

Apply radical rule:

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

= ((2 + 3)^{\frac{1}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (2 + 3)^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= 2 + 3

A (1, - 2, 3)

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What is expand (sqrt(2+\sqrt{3)})^2 ?
The solution to expand (sqrt(2+\sqrt{3)})^2 is 2+sqrt(3)