What is (3+sqrt(3))/(4sqrt(12)) ?

The solution to (3+sqrt(3))/(4sqrt(12)) is (3+sqrt(3))/(8sqrt(3))

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simplify (3+sqrt(3))/(4sqrt(12))

simplify

\frac{3 + 3}{4 12}

\frac{3 + 3}{8 3}

Decimal Notation

0.34150 \dots

Solution steps

\frac{3 + 3}{4 12}

Prime factorization of

12 : 2^{2} \cdot 3

= \frac{3 + 3}{4 2 ^{2} \cdot 3}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 3 = 2^{2} 3

= \frac{3 + 3}{4 2 ^{2} 3}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= \frac{3 + 3}{4 \cdot 2 3}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{3 + 3}{8 3}

∣ 4 x - 6 ∣ = 14

2 x^{2} = x + 1

\frac{x}{y + z} + \frac{y}{x + z} + \frac{z}{x + y}

72 x - 50 = 68 x - 42

\frac{5 π}{12} + x = π

What is (3+sqrt(3))/(4sqrt(12)) ?
The solution to (3+sqrt(3))/(4sqrt(12)) is (3+sqrt(3))/(8sqrt(3))