What is 1/2 sqrt(2)-5sqrt(2) ?

The solution to 1/2 sqrt(2)-5sqrt(2) is -9/(sqrt(2))

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simplify 1/2 sqrt(2)-5sqrt(2)

simplify

\frac{1}{2} 2 - 52

- \frac{9}{2}

Decimal Notation

- 6.36396 \dots

Solution steps

\frac{1}{2} 2 - 52

Convert element to fraction:

- 52 = \frac{- 5 2}{1}

= \frac{1}{2} 2 + \frac{- 5 2}{1}

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{\frac{1}{2} 2 \cdot 1 - 5 2}{1}

Apply rule:

a \cdot 1 = a

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

= \frac{\frac{1}{2} 2 - 5 2}{1}

Cancel

\frac{\frac{1}{2} 2 - 5 2}{1} : - \frac{9}{2}

= - \frac{9}{2}

M lo g_{5} (8)

\frac{2}{5} + \frac{4}{5}

\frac{\frac{x ^{2} - 4}{x - 2}}{\frac{x ^{2} - 2 x - 8}{3 x ^{3}}}

k (k + 1) (2 k + 1)

\frac{2}{15}

What is 1/2 sqrt(2)-5sqrt(2) ?
The solution to 1/2 sqrt(2)-5sqrt(2) is -9/(sqrt(2))