What is factor sqrt(7+2\sqrt{12)} ?

The solution to factor sqrt(7+2\sqrt{12)} is sqrt(3)+2

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factor sqrt(7+2\sqrt{12)}

factor

7 + 212

3 + 2

Decimal

3.73205 \dots

Solution steps

7 + 212

212 = 43

= 7 + 43

= 3 + 43 + 4

= (3)^{2} + 43 + (4)^{2}

4 = 2

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

23 \cdot 2 = 43

= (3)^{2} + 23 \cdot 2 + 2^{2}

Apply Perfect Square Formula:

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

(3)^{2} + 23 \cdot 2 + 2^{2} = (3 + 2)^{2}

= (3 + 2)^{2}

Apply radical rule:

n a^{n} = a

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

= 3 + 2

\frac{2 \cdot 5 + 4}{5 - 5}

(0.655) 6 0^{'}

\frac{d}{d t} ((x) (2 e^{t}))

lo g_{10} (2) (x^{2} y^{6})

1 + ab + m (a + b) + m (ab + 1) + a + b

What is factor sqrt(7+2\sqrt{12)} ?
The solution to factor sqrt(7+2\sqrt{12)} is sqrt(3)+2