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

The solution to (2-sqrt(x/2))^2 is (8-4sqrt(2)sqrt(x)+x)/2

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simplify (2-sqrt(x/2))^2

simplify

(2 - \frac{x}{2})^{2}

\frac{8 - 4 2 x + x}{2}

Solution steps

(2 - \frac{x}{2})^{2}

Apply Perfect Square Formula:

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

(2 - \frac{x}{2})^{2} = 2^{2} - 2 \cdot 2 \frac{x}{2} + (\frac{x}{2})^{2}

= 2^{2} - 2 \cdot 2 \frac{x}{2} + (\frac{x}{2})^{2}

Simplify

2^{2} - 2 \cdot 2 \frac{x}{2} + (\frac{x}{2})^{2} : \frac{8 - 8 \frac{x}{2} + x}{2}

= \frac{8 - 8 \frac{x}{2} + x}{2}

8 \frac{x}{2} = 42 x

= \frac{8 - 4 2 x + x}{2}

(311.13 sin (377 t)) \cdot (3 sin (377 t) - 1.5)

\frac{d ^{3}}{d x ^{3}} ((y) (4 x^{2} - 6 x + 2))

sin (x) (1 + cot (x) = sin (x) + cos (x))

\frac{8}{x ( x ^{2} + 4 )}

\frac{10}{s ( s + 1 ) ( s + 10 )}

What is (2-sqrt(x/2))^2 ?
The solution to (2-sqrt(x/2))^2 is (8-4sqrt(2)sqrt(x)+x)/2