Question 210593
*[Tex \LARGE \sqrt{\sqrt[3]{10a^{10}b}}]


*[Tex \LARGE \sqrt{\left(10a^{10}b\right)^{\frac{1}{3}}}]



*[Tex \LARGE \left(\left(10a^{10}b\right)^{\frac{1}{3}}\right)^{\frac{1}{2}}]



*[Tex \LARGE \left(10a^{10}b\right)^{\frac{1}{3}\cdot\frac{1}{2}}]



*[Tex \LARGE \left(10a^{10}b\right)^{\frac{1}{6}}]



*[Tex \LARGE \left(10a^{6}a^4b\right)^{\frac{1}{6}}]



*[Tex \LARGE a\sqrt[6]{10a^{4}b}]



Ans: *[Tex \LARGE \sqrt{\sqrt[3]{10a^{10}b}} = a\sqrt[6]{10a^{4}b}]