What is expand (i+sqrt(i))^2 ?

The solution to expand (i+sqrt(i))^2 is -1+2isqrt(i)+i

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expand (i+sqrt(i))^2

expand

(i + i)^{2}

- 1 + 2 i i + i

Solution steps

(i + i)^{2}

Apply Perfect Square Formula:

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

a = i, b = i

= i^{2} + 2 i i + (i)^{2}

Simplify

i^{2} + 2 i i + (i)^{2} : - 1 + 2 i i + i

= - 1 + 2 i i + i

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What is expand (i+sqrt(i))^2 ?
The solution to expand (i+sqrt(i))^2 is -1+2isqrt(i)+i