If a+b3=7+43, then a2−b3=

a+b3=7+43 Also a−b3=7−43a+b3×a−b3=(7+43)(7−43)a2−b3=(49−48)=1

If a+b3=7+43, then a2−b3=

a+b3=7+43 Also a−b3=7−43a+b3×a−b3=(7+43)(7−43)a2−b3=(49−48)=1

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If $\sqrt[3]{a + \sqrt{b}} = 7 + 4 \sqrt{3}, then \sqrt[3]{a^{2} - b} =$

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$\sqrt[3]{a + \sqrt{b}} = 7 + 4 \sqrt{3}$

$\begin{array}{l} Also \sqrt[3]{a - \sqrt{b}} = 7 - 4 \sqrt{3} \\ \sqrt[3]{a + \sqrt{b}} \times \sqrt[3]{a - \sqrt{b}} = (7 + 4 \sqrt{3}) (7 - 4 \sqrt{3}) \\ \sqrt[3]{a^{2} - b} = (49 - 48) = 1 \end{array}$

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If $\sqrt[3]{a + \sqrt{b}} = 7 + 4 \sqrt{3}, then \sqrt[3]{a^{2} - b} =$