What is (sqrt(216))/4 ?

The solution to (sqrt(216))/4 is (3sqrt(3))/(sqrt(2))

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simplify (sqrt(216))/4

simplify

\frac{216}{4}

\frac{3 3}{2}

Solution steps

\frac{216}{4}

Factor

216 : 254

= \frac{2 54}{4}

Factor the number:

4 = 2^{2}

= \frac{2 54}{2 ^{2}}

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

= \frac{54}{2}

Factor

54 : 227

= \frac{2 27}{2}

Apply radical rule:

a = a a

2 = 22

= \frac{2 27}{2 2}

Cancel the common factor:

2

= \frac{27}{2}

27 = 33

= \frac{3 3}{2}

\frac{1}{3 x - 5} > 2

- x^{2} - 4 x - 3 = 0

2 ∣ x + 1 ∣ + 5 = 1

- 5 - (- 8)

lo g_{9} (3) = x