q-2-2-2-

Question Number 159839 by abelpedro last updated on 21/Nov/21

q = 2 \sqrt{2 \sqrt{2}}

Answered by abdullah_ff last updated on 21/Nov/21

q = 2 \sqrt{2 \sqrt{2}}

= 2 \sqrt{2^{1} \cdot 2^{\frac{1}{2}}}

= 2 \sqrt{2^{1 + \frac{1}{2}}}

= 2 \sqrt{2^{\frac{3}{2}}}

= 2^{1} \cdot 2^{\frac{3}{4}}

= 2^{\frac{7}{4}}