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Question Number 82082 by TawaTawa last updated on 18/Feb/20

$$\mathrm{Evaluate}:{\left(\frac{\sqrt{30+\sqrt{8}+\sqrt{5}}}{\sqrt{8}+\sqrt{5}}\right)}^{1/4}$$

Commented by MJS last updated on 18/Feb/20

$${\mathrm{it}}^{\prime }\mathrm{s}\mathrm{not}\mathrm{possible}\mathrm{to}\mathrm{expand}\mathrm{or}\mathrm{factorise}\sqrt{30+\sqrt{8}+\sqrt{5}}$$$$\Rightarrow \mathrm{we}\mathrm{can}\mathrm{only}\mathrm{use}\mathrm{a}\mathrm{calculator}$$

Commented by jagoll last updated on 18/Feb/20

$$let\sqrt{8}+\sqrt{5}=t$$$$\sqrt[4]{\frac{\sqrt{30+t}}{t}}=\sqrt[4]{\frac{\sqrt{30+t}}{\sqrt{t^2}}}=\sqrt[4]{\frac{30+t}{\sqrt{t^3+30t^2}}}$$

Commented by jagoll last updated on 18/Feb/20

$$haha..i{don}^{\prime }thaveidea$$

Commented by john santu last updated on 18/Feb/20

$$haha....$$

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