What is (x-sqrt(x))^2 ?

The solution to (x-sqrt(x))^2 is x^2-2xsqrt(x)+x

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simplify (x-sqrt(x))^2

simplify

(x - x)^{2}

x^{2} - 2 x x + x

Solution steps

(x - x)^{2}

Apply Perfect Square Formula:

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

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(x)^{2} = x

= x^{2} - 2 x x + x

L im x \Rightarrow \frac{1}{2} (x + 3)

(\frac{5}{7} x - \frac{1}{3} y) (\frac{5}{7} x + \frac{1}{3} y)

(x - 1 + 2) (x - 1 - 2)

(y + 3)^{2}

(1 + \frac{x}{2})^{12}