What is (5-2sqrt(2))/(sqrt(12)) ?

The solution to (5-2sqrt(2))/(sqrt(12)) is (5-2sqrt(2))/(2sqrt(3))

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simplify (5-2sqrt(2))/(sqrt(12))

simplify

\frac{5 - 2 2}{12}

\frac{5 - 2 2}{2 3}

Decimal Notation

0.62687 \dots

Solution steps

\frac{5 - 2 2}{12}

Prime factorization of

12 : 2^{2} \cdot 3

= \frac{5 - 2 2}{2 ^{2} \cdot 3}

Apply radical rule:

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

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

= \frac{5 - 2 2}{2 ^{2} 3}

Apply radical rule:

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

2^{2} = 2

= \frac{5 - 2 2}{2 3}

(4 x^{2} + x - 5) - (5 x^{2} - 1)

(5 x^{2} + x) (5 x^{2} + x) (x - 1)

- 6 (- 8 - 22)

(x^{2} - y + z) (x^{2} + y - z)

5 x^{4} (x^{2})

What is (5-2sqrt(2))/(sqrt(12)) ?
The solution to (5-2sqrt(2))/(sqrt(12)) is (5-2sqrt(2))/(2sqrt(3))