What is expand (x+sqrt(4.5))^2 ?

The solution to expand (x+sqrt(4.5))^2 is x^2+3sqrt(2)x+4.5

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expand (x+sqrt(4.5))^2

expand

(x + 4.5)^{2}

x^{2} + 32 x + 4.5

Solution steps

(x + 4.5)^{2}

Apply Perfect Square Formula:

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

(x + 4.5)^{2} = x^{2} + 2 x 4.5 + (4.5)^{2}

= x^{2} + 2 x 4.5 + (4.5)^{2}

Simplify

x^{2} + 2 x 4.5 + (4.5)^{2} : x^{2} + 32 x + 4.5

= x^{2} + 32 x + 4.5

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What is expand (x+sqrt(4.5))^2 ?
The solution to expand (x+sqrt(4.5))^2 is x^2+3sqrt(2)x+4.5