What is 7/(sqrt(24)) ?

The solution to 7/(sqrt(24)) is 7/(2sqrt(6))

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simplify 7/(sqrt(24))

simplify

\frac{7}{24}

\frac{7}{2 6}

Decimal Notation

1.42886 \dots

Solution steps

\frac{7}{24}

Prime factorization of

24 : 2^{3} \cdot 3

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

Apply radical rule:

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

2^{2} = 2

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{7}{2 6}

\frac{40}{1000}

9 (8 x^{2} - 9)

x + 2 x^{2}

x^{2} + 16 x - 36

\frac{1}{\frac{1}{x + 1} + 1}