What is expand-sqrt(2)(sqrt(2+\sqrt{2)}-2) ?

The solution to expand-sqrt(2)(sqrt(2+\sqrt{2)}-2) is -sqrt(4+2\sqrt{2)}+2sqrt(2)

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expand-sqrt(2)(sqrt(2+\sqrt{2)}-2)

expand

- 2 (2 + 2 - 2)

- 4 + 22 + 22

Decimal Notation

0.21530 \dots

Solution steps

- 2 (2 + 2 - 2)

Apply the distributive law:

a (b - c) = ab - a c

- 2 (2 + 2 - 2) = - 2 2 + 2 - (- 2) \cdot 2

= - 2 2 + 2 - (- 2) \cdot 2

- 2 2 + 2 - (- 2) \cdot 2 = - 4 + 22 + 22

= - 4 + 22 + 22

\frac{1}{( x + 1 ) ( x + 2 ) ( x + 3 )}

(z + 2 i)^{2}

(2 x + \frac{1}{3})^{3}

(cos^{2} (x) + sec^{2} (x)) (cos^{2} (x) - 2)

\frac{( x ^{2} - 1 ) ^{4}}{4}

What is expand-sqrt(2)(sqrt(2+\sqrt{2)}-2) ?
The solution to expand-sqrt(2)(sqrt(2+\sqrt{2)}-2) is -sqrt(4+2\sqrt{2)}+2sqrt(2)