What is expand (sqrt(10)-sqrt(2))sqrt(3+\sqrt{5)} ?

The solution to expand (sqrt(10)-sqrt(2))sqrt(3+\sqrt{5)} is 4

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expand (sqrt(10)-sqrt(2))sqrt(3+\sqrt{5)}

expand

(10 - 2) 3 + 5

4

Solution steps

(10 - 2) 3 + 5

= 3 + 5 (10 - 2)

Apply the distributive law:

a (b - c) = ab - a c

3 + 5 (10 - 2) = 3 + 5 10 - 3 + 5 2

= 3 + 5 10 - 3 + 5 2

3 + 5 10 - 3 + 5 2 = 4

= 4

(1 + cos (t)) cos (\frac{t}{2}) + sin (t) sin (\frac{t}{2})

(5 sec (θ) + 2)^{2}

lo g_{10} (3) (x + 2)

\frac{( x - 1 ) ( x - 2 ) ( x - 3 )}{( 0 - 1 ) ( 0 - 2 ) ( 0 - 3 )}

e^{a} + e^{a} (x - a)

What is expand (sqrt(10)-sqrt(2))sqrt(3+\sqrt{5)} ?
The solution to expand (sqrt(10)-sqrt(2))sqrt(3+\sqrt{5)} is 4