What is 5/(sqrt(24)) ?

The solution to 5/(sqrt(24)) is 5/(2sqrt(6))

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simplify 5/(sqrt(24))

simplify

\frac{5}{24}

\frac{5}{2 6}

Decimal Notation

1.02062 \dots

Solution steps

\frac{5}{24}

Prime factorization of

24 : 2^{3} \cdot 3

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{5}{2 6}

3 \frac{1}{4} + 2 \frac{3}{5} + \frac{5}{12}

2 x \cdot 5

lo g_{0.1} (1000)

\frac{36}{42}

\frac{3}{6}