What is (a+sqrt(b))^2 ?

The solution to (a+sqrt(b))^2 is a^2+2asqrt(b)+b

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simplify (a+sqrt(b))^2

simplify

(a + b)^{2}

a^{2} + 2 a b + b

Solution steps

(a + b)^{2}

Apply Perfect Square Formula:

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

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(b)^{2} = b

= a^{2} + 2 a b + b

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