What is 5/(sqrt(54)) ?

The solution to 5/(sqrt(54)) is 5/(3sqrt(6))

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simplify 5/(sqrt(54))

simplify

\frac{5}{54}

\frac{5}{3 6}

Solution steps

\frac{5}{54}

Prime factorization of

54 : 2 \cdot 3^{3}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

3^{2} = 3

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{5}{3 6}

5 a^{2} b^{- 3}

6 x + 8 y - 3 - 7 y

(10 x + 3)^{2}

- x^{7} + 9 x^{3} + 4 x

- (- 6 + x)