What is (sqrt(5)-sqrt(6))/(sqrt(18)) ?

The solution to (sqrt(5)-sqrt(6))/(sqrt(18)) is (sqrt(5)-sqrt(6))/(3sqrt(2))

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simplify (sqrt(5)-sqrt(6))/(sqrt(18))

simplify

\frac{5 - 6}{18}

\frac{5 - 6}{3 2}

Solution steps

\frac{5 - 6}{18}

Prime factorization of

18 : 2 \cdot 3^{2}

= \frac{5 - 6}{2 \cdot 3 ^{2}}

Apply radical rule:

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

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

= \frac{5 - 6}{2 3 ^{2}}

Apply radical rule:

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

3^{2} = 3

= \frac{5 - 6}{2 \cdot 3}

= \frac{5 - 6}{3 2}

- 5 p + 9 \leq 34

∣ x + 1 ∣ = 8

2 + 2 k \geq 10

2 x^{2} + 3 x + 3 = 0

r^{2} - 2 r - 24

What is (sqrt(5)-sqrt(6))/(sqrt(18)) ?
The solution to (sqrt(5)-sqrt(6))/(sqrt(18)) is (sqrt(5)-sqrt(6))/(3sqrt(2))