What is (sqrt(1/32)-sqrt(1/8))/(sqrt(1/4)) ?

The solution to (sqrt(1/32)-sqrt(1/8))/(sqrt(1/4)) is -1/(2sqrt(2))

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simplify (sqrt(1/32)-sqrt(1/8))/(sqrt(1/4))

simplify

\frac{\frac{1}{32} - \frac{1}{8}}{\frac{1}{4}}

- \frac{1}{2 2}

Decimal Notation

- 0.35355 \dots

Solution steps

\frac{\frac{1}{32} - \frac{1}{8}}{\frac{1}{4}}

Simplify

\frac{1}{32} - \frac{1}{8} : - \frac{1}{4 2}

= \frac{- \frac{1}{4 2}}{\frac{1}{4}}

\frac{1}{4} = \frac{1}{2}

= \frac{- \frac{1}{4 2}}{\frac{1}{2}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{1}{4 2}}{\frac{1}{2}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

\frac{\frac{1}{4 2}}{\frac{1}{2}} = \frac{1 \cdot 2}{4 2 \cdot 1}

= - \frac{1 \cdot 2}{4 2 \cdot 1}

Cancel

- \frac{1 \cdot 2}{4 2 \cdot 1} : - \frac{1}{2 2}

= - \frac{1}{2 2}

- 10 x^{2} + 13 x + 3 = 0

x^{2} + 18 x - 20 = 0

\frac{1}{8} + \frac{1}{8} + \frac{1}{4}

- 3 x (x - 2) > 24

\frac{8}{11} \cdot 4

What is (sqrt(1/32)-sqrt(1/8))/(sqrt(1/4)) ?
The solution to (sqrt(1/32)-sqrt(1/8))/(sqrt(1/4)) is -1/(2sqrt(2))