What is sqrt(8+2\sqrt{12)} ?

The solution to sqrt(8+2\sqrt{12)} is sqrt(6)+sqrt(2)

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simplify sqrt(8+2\sqrt{12)}

simplify

8 + 212

6 + 2

Solution steps

8 + 212

212 = 43

= 8 + 43

= 6 + 43 + 2

= 2 \cdot 3 + 43 + 2

= (2)^{2} (3)^{2} + 43 + (2)^{2}

2232 = 43

= (23)^{2} + 2232 + (2)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(23)^{2} + 2232 + (2)^{2} = (23 + 2)^{2}

= (23 + 2)^{2}

Apply radical rule:

(23 + 2)^{2} = 23 + 2

= 23 + 2

23 = 6

= 6 + 2

(x^{2} + 1) (x - 3)

3 (- 5 a - 3)

12 \cdot 710

(3 x + 1) (x + 3)

\frac{sin ( 2 x )}{sin ^{2} ( x )}

What is sqrt(8+2\sqrt{12)} ?
The solution to sqrt(8+2\sqrt{12)} is sqrt(6)+sqrt(2)