What is (2sqrt(3)-sqrt(2))/(sqrt(18)) ?

The solution to (2sqrt(3)-sqrt(2))/(sqrt(18)) is (2sqrt(3)-sqrt(2))/(3sqrt(2))

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simplify (2sqrt(3)-sqrt(2))/(sqrt(18))

simplify

\frac{2 3 - 2}{18}

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

Decimal Notation

0.48316 \dots

Solution steps

\frac{2 3 - 2}{18}

Prime factorization of

18 : 2 \cdot 3^{2}

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

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

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

\frac{1}{cosh ^{2} ( x )}

\frac{( 6 x ^{3} - 1 x ^{2} + 1 )}{( 2 x + 1 )}

\frac{1}{3} \cdot (- 5)

\frac{18}{4}

1.056 + 2.33 (\frac{0.246}{50})

What is (2sqrt(3)-sqrt(2))/(sqrt(18)) ?
The solution to (2sqrt(3)-sqrt(2))/(sqrt(18)) is (2sqrt(3)-sqrt(2))/(3sqrt(2))