What is (isqrt(5))/(isqrt(1/5)) ?

The solution to (isqrt(5))/(isqrt(1/5)) is 5

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simplify (isqrt(5))/(isqrt(1/5))

simplify

\frac{i 5}{i \frac{1}{5}}

5

Solution steps

\frac{i 5}{i \frac{1}{5}}

Rewrite

i 5

in standard complex form:

5 i

Rewrite

i \frac{1}{5}

in standard complex form:

\frac{1}{5} i

= \frac{5 i}{\frac{1}{5} i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{5 i ( - i )}{\frac{1}{5} i ( - i )}

Simplify

\frac{5 i ( - i )}{\frac{1}{5} i ( - i )} : \frac{5}{\frac{1}{5}}

= \frac{5}{\frac{1}{5}}

\frac{5}{\frac{1}{5}} = 5

= 5

\frac{∣ - 1 ∣}{- 1}

2 x^{2} - 7 x - 3 = 0

\frac{2 - 6}{2 + 6}

z + (- z) = 4

∣ 2 (x - 1) + 12 ∣ \leq 10