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factoring roots
\sqrt{16a^{16}}
\sqrt[3]{27x^{27}}
\sqrt{64x^6}
\sqrt{3\sqrt{64x^6}}
\sqrt[3]{0.001x^3}

reduce the indexes of the following radicals
\sqrt[4]{81x^4}
\sqrt[5]{729a^2}
\sqrt[12]{a^6}b^3c^9

Sagot :

[tex] \sqrt[16]{a ^{16} } = a[/tex]

[tex] \sqrt[3]{27x^{27} } = 3 x^{9} [/tex]

[tex] \sqrt{64x ^{6} } = 8x^{3} [/tex]

[tex] \sqrt[3]{64 x^{6} } = 4 x^{2} [/tex]

[tex] \sqrt[3]{0.001x^{3} } = 0.1x[/tex]

[tex] \sqrt[4]{81x ^{4} } = 3x[/tex]

[tex] \sqrt[5]{729a ^{2} } = 3 \sqrt[5]{3a ^{2} } [/tex]

Last expression is not clear :-(

Note:  You must memorize the perfect squares and perfect cubes, or learn the technique finding the roots by continuous division.