What is sqrt(\sqrt{a^6*b^{12)}} ?

The solution to sqrt(\sqrt{a^6*b^{12)}} is ab^3sqrt(a)

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simplify sqrt(\sqrt{a^6*b^{12)}}

simplify

a^{6} \cdot b^{12}

a b^{3} a

Solution steps

a^{6} b^{12}

Simplify

a^{6} b^{12} : a^{3} b^{6}

= a^{3} b^{6}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

a^{3} b^{6} = a^{3} b^{6}

= a^{3} b^{6}

Simplify

a^{3} : a a

= a a b^{6}

Simplify

b^{6} : b^{3}

= a a b^{3}

= a b^{3} a

- 1^{k} \cdot k

(- 3.6) y (- 2.4)

\frac{( 56 x ^{2} \cdot ( x + y ) )}{( 63 x \cdot ( x + y ) ^{3} )}

\frac{( x - 3 )}{( x - 4 )} + \frac{( x - 4 )}{( x + 3 )}

y^{9} - y^{10}

What is sqrt(\sqrt{a^6*b^{12)}} ?
The solution to sqrt(\sqrt{a^6*b^{12)}} is ab^3sqrt(a)