Solution 3.1:1d
From Förberedande kurs i matematik 1
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- | { | + | Because <math>\sqrt{3}</math> is equal to <math>3^{1/2}</math>, then <math>\sqrt{\sqrt{3}} = \sqrt{3^{1/2}} = \bigl(3^{1/2}\bigr)^{1/2} = 3^{\frac{1}{2}\cdot\frac{1}{2}} = 3^{1/4}</math>. |
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Current revision
Because \displaystyle \sqrt{3} is equal to \displaystyle 3^{1/2}, then \displaystyle \sqrt{\sqrt{3}} = \sqrt{3^{1/2}} = \bigl(3^{1/2}\bigr)^{1/2} = 3^{\frac{1}{2}\cdot\frac{1}{2}} = 3^{1/4}.