What is (sqrt(3))/(2sqrt(2/3)) ?

The solution to (sqrt(3))/(2sqrt(2/3)) is (3sqrt(2))/4

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simplify (sqrt(3))/(2sqrt(2/3))

simplify

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

\frac{3 2}{4}

Decimal Notation

1.06066 \dots

Solution steps

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

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

= \frac{3}{2 \cdot \frac{2}{3}}

Multiply

2 \cdot \frac{2}{3} : \frac{2 2}{3}

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

Apply the fraction rule:

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

= \frac{3 3}{2 \cdot 2}

33 = 3

= \frac{3}{2 2}

Rationalize

\frac{3}{2 2} : \frac{3 2}{4}

= \frac{3 2}{4}

63 + 45 b

x^{4} + 6 x^{2} + 9

(- 36)^{\frac{5}{2}}

12 c^{2} - 20 d^{2}

\frac{5 π}{6} - π

What is (sqrt(3))/(2sqrt(2/3)) ?
The solution to (sqrt(3))/(2sqrt(2/3)) is (3sqrt(2))/4