What is expand 2(2-sqrt(3))sqrt(2+\sqrt{3)} ?

The solution to expand 2(2-sqrt(3))sqrt(2+\sqrt{3)} is 4sqrt(2+\sqrt{3)}-2sqrt(6+3\sqrt{3)}

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expand 2(2-sqrt(3))sqrt(2+\sqrt{3)}

expand

2 (2 - 3) 2 + 3

4 2 + 3 - 2 6 + 33

Decimal Notation

1.03527 \dots

Solution steps

2 (2 - 3) 2 + 3

= 2 2 + 3 (2 - 3)

Apply the distributive law:

a (b - c) = ab - a c

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

= 2 2 + 3 \cdot 2 - 2 2 + 3 3

2 2 + 3 \cdot 2 - 2 2 + 3 3 = 4 2 + 3 - 2 6 + 33

= 4 2 + 3 - 2 6 + 33

(x + 1) e^{x}

(1 - 3 i)^{4}

\frac{1}{( s ^{2} + 1 ) ( s ^{2} + 4 )}

(x - 2) (x - 5) (x - 3) (x + 3)

\frac{1}{( s ^{2} + a ^{2} ) ( s ^{2} + b ^{2} )}

What is expand 2(2-sqrt(3))sqrt(2+\sqrt{3)} ?
The solution to expand 2(2-sqrt(3))sqrt(2+\sqrt{3)} is 4sqrt(2+\sqrt{3)}-2sqrt(6+3\sqrt{3)}