What is sqrt((108a^4)/(b^2)) ?

The solution to sqrt((108a^4)/(b^2)) is (6sqrt(3)a^2)/b

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simplify sqrt((108a^4)/(b^2))

simplify

\frac{108 a ^{4}}{b ^{2}}

\frac{6 3 a ^{2}}{b}

Solution steps

\frac{108 a ^{4}}{b ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{108 a ^{4}}{b ^{2}}

Simplify

108 a^{4} : 63 a^{2}

= \frac{6 3 a ^{2}}{b ^{2}}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

b^{2} = b

= \frac{6 3 a ^{2}}{b}

a^{4} - b^{6}

\frac{5 - 2 2}{12}

(4 x^{2} + x - 5) - (5 x^{2} - 1)

(5 x^{2} + x) (5 x^{2} + x) (x - 1)

- 6 (- 8 - 22)

What is sqrt((108a^4)/(b^2)) ?
The solution to sqrt((108a^4)/(b^2)) is (6sqrt(3)a^2)/b