What is sqrt(2)(sqrt(2)+1)^2 ?

The solution to sqrt(2)(sqrt(2)+1)^2 is 3sqrt(2)+4

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simplify sqrt(2)(sqrt(2)+1)^2

simplify

2 (2 + 1)^{2}

32 + 4

Decimal Notation

8.24264 \dots

Solution steps

2 (2 + 1)^{2}

Expand

(2 + 1)^{2} : 3 + 22

= 2 (3 + 22)

Apply the distributive law:

a (b + c) = ab + a c

2 (3 + 22) = 2 \cdot 3 + 2 \cdot 22

= 2 \cdot 3 + 2 \cdot 22

2 \cdot 3 = 32

2 \cdot 22 = 4

= 32 + 4

36 - 96

4 x - 2 y^{2} + 2 y^{2} + 2 - 3 x + 4 - y^{2}

\frac{27}{2}

1 + \frac{1}{x + 3}

(- 5 - 5 i) + (- 5 - 10 i)

What is sqrt(2)(sqrt(2)+1)^2 ?
The solution to sqrt(2)(sqrt(2)+1)^2 is 3sqrt(2)+4