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Question Number 129663 by liberty last updated on 17/Jan/21

$$\sqrt{14+\sqrt{3}+\sqrt[3]{26-5\sqrt{3}}}=?$$

Commented by MathSh last updated on 17/Jan/21

$$\sqrt[3]{{(26-15\sqrt{3})}^3}=\sqrt[3]{{(2-\sqrt{3})}^3}=2-\sqrt{3}$$$$\sqrt{14+\sqrt{3}+2-\sqrt{3}}=\sqrt{16}=4$$

Commented by liberty last updated on 17/Jan/21

$$\mathrm{wrong}$$

Commented by liberty last updated on 17/Jan/21

Commented by MathSh last updated on 17/Jan/21

$$Yes,‘‘-5^{″}and‘‘-{15}^{″}$$

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