What is (sqrt(9/2))/(sqrt(3/2)) ?

The solution to (sqrt(9/2))/(sqrt(3/2)) is square root of 3

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simplify (sqrt(9/2))/(sqrt(3/2))

simplify

\frac{\frac{9}{2}}{\frac{3}{2}}

3

Decimal Notation

1.73205 \dots

Solution steps

\frac{\frac{9}{2}}{\frac{3}{2}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{\frac{9}{2}}{\frac{3}{2}} = \frac{\frac{9}{2}}{\frac{3}{2}}

= \frac{\frac{9}{2}}{\frac{3}{2}}

Cancel

\frac{\frac{9}{2}}{\frac{3}{2}} : 3

= 3

(11)^{4}

(11)^{3}

(11)^{5}

(- 1)^{- \frac{3}{2}}

What is (sqrt(9/2))/(sqrt(3/2)) ?
The solution to (sqrt(9/2))/(sqrt(3/2)) is square root of 3