What is (sqrt(2))/(isqrt(2)) ?

The solution to (sqrt(2))/(isqrt(2)) is -i

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simplify (sqrt(2))/(isqrt(2))

simplify

\frac{2}{i 2}

- i

Solution steps

\frac{2}{i 2}

Rewrite

i 2

in standard complex form:

2 i

= \frac{2}{2 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{2 ( - i )}{2 i ( - i )}

Simplify

\frac{2 ( - i )}{2 i ( - i )} : \frac{- 2 i}{2}

= \frac{- 2 i}{2}

Cancel the common factor:

2

= - i

3 x + 2 = - 2 x - 1

2 (x - 5) < 8

6 m^{2} n - 14 m n^{2} - m n^{2} + 2 m^{2} n

9 - x^{2} = - 8 x

4 x + 3 \geq 2 x + 5