What is 7/(sqrt(54)) ?

The solution to 7/(sqrt(54)) is 7/(3sqrt(6))

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simplify 7/(sqrt(54))

simplify

\frac{7}{54}

\frac{7}{3 6}

Decimal Notation

0.95257 \dots

Solution steps

\frac{7}{54}

Prime factorization of

54 : 2 \cdot 3^{3}

= \frac{7}{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{7}{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{7}{3 ^{2} 2 \cdot 3}

Apply radical rule:

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

3^{2} = 3

= \frac{7}{3 2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{7}{3 6}

(4 x + 9) (- x^{2} - 3 x + 1)

3 x^{2} + 6 x + 45

5 a + 3 b + 5 b

2 x (x)

(- 2.4)^{2}