What is (isqrt(1/2))/(isqrt(3/2)) ?

The solution to (isqrt(1/2))/(isqrt(3/2)) is 1/(sqrt(2)\sqrt{3/2)}

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simplify (isqrt(1/2))/(isqrt(3/2))

simplify

\frac{i \frac{1}{2}}{i \frac{3}{2}}

\frac{1}{2 \frac{3}{2}}

Decimal Notation

0.57735 \dots

Solution steps

\frac{i \frac{1}{2}}{i \frac{3}{2}}

Rewrite

i \frac{1}{2}

in standard complex form:

\frac{1}{2} i

Rewrite

i \frac{3}{2}

in standard complex form:

\frac{3}{2} i

= \frac{\frac{1}{2} i}{\frac{3}{2} i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{\frac{1}{2} i ( - i )}{\frac{3}{2} i ( - i )}

Simplify

\frac{\frac{1}{2} i ( - i )}{\frac{3}{2} i ( - i )} : \frac{\frac{1}{2}}{\frac{3}{2}}

= \frac{\frac{1}{2}}{\frac{3}{2}}

Apply the fraction rule:

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

= \frac{1}{2 \frac{3}{2}}

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

\frac{x + 3}{6} + \frac{x + 1}{5} = 8

3 a - 18

8 n - 10 \geq 6 n + 14

2 (1)^{3} + 3 (1)^{2} - 12 (1) + 2

What is (isqrt(1/2))/(isqrt(3/2)) ?
The solution to (isqrt(1/2))/(isqrt(3/2)) is 1/(sqrt(2)\sqrt{3/2)}