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

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

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rationalize 3/(2sqrt(3))

rationalize

\frac{3}{2 3}

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

\frac{3}{2 3}

Apply radical rule:

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

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

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

Subtract the numbers:

1 - \frac{1}{2} = \frac{1}{2}

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

Apply radical rule:

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

= \frac{3}{2}

a^{2} a^{3}

5^{2.5}

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

4.98 \cdot 1 0^{15} \cdot e^{0.47 (2000 - 2010)}

49 x^{2} - 77 x + 30

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