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

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

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

simplify

\frac{1}{- \frac{2}{2}}

- 2

Decimal Notation

- 1.41421 \dots

Solution steps

\frac{1}{- \frac{2}{2}}

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

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

= - \frac{2}{2}

Apply radical rule:

2 = 2^{\frac{1}{2}}

= \frac{2}{2 ^{\frac{1}{2}}}

Apply exponent rule:

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

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

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

Subtract the numbers:

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

= 2^{\frac{1}{2}}

Apply radical rule:

2^{\frac{1}{2}} = 2

= - 2

∣ 2 x - 5 ∣ + 2 > 5

5 x (x + 6) = - 50

6 - \frac{3}{4} x + \frac{1}{3} = \frac{1}{2} x + 5

a^{3} + a^{2} b - a b^{2} - b^{3}

9 - 12 i