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 \cdot (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

(a + ib)^{2} + a + ib

(2 sin (x) - 2) (2 cos (x) + 1)

\frac{- 5}{7} (x + 8)

\frac{- 1 + 65}{8}

75 \cdot 93

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)